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Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients II 含一般分数阶导数算子的广义Ruscheweyh导数在一类负系数解析函数中的应用[j]
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0007
W. Atshan, S. R. Kulkarni
{"title":"Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients II","authors":"W. Atshan, S. R. Kulkarni","doi":"10.2478/gm-2020-0007","DOIUrl":"https://doi.org/10.2478/gm-2020-0007","url":null,"abstract":"Abstract In this paper, we study a class of univalent functions f as defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator, satisfying Re{ z(J1λ,μf(z))'(1-γ)J1λ,μf(z)+γz2(J1λ,μf(z))'' }>β. {mathop{rm Re}nolimits} left{{{{zleft({{bf{J}}_1^{lambda,mu}fleft(z right)} right)'} over {left({1 - gamma} right){bf{J}}_1^{lambda,mu}fleft(z right) + gamma {z^2}left({{bf{J}}_1^{lambda,mu}fleft(z right)} right)''}}} right} > beta. A necessary and sufficient condition for a function to be in the class Aγλ,μ,ν(n,β) A_gamma ^{lambda,mu,nu}left({n,beta} right) is obtained. Also, our paper includes linear combination, integral operators and we introduce the subclass Aγ,cmλ,μ,ν(1,β) A_{gamma,{c_m}}^{lambda,mu,nu}left({1,beta} right) consisting of functions with negative and fixed finitely many coefficients. We study some interesting properties of Aγ,cmλ,μ,ν(1,β) A_{gamma,{c_m}}^{lambda,mu,nu}left({1,beta} right) .","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"23 1","pages":"103 - 85"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84487962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A differential inequality involving Ruscheweyh operator and univalent functions 涉及Ruscheweyh算子和一元函数的微分不等式
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0009
Pardeep Kaur, S. S. Billing
{"title":"A differential inequality involving Ruscheweyh operator and univalent functions","authors":"Pardeep Kaur, S. S. Billing","doi":"10.2478/gm-2020-0009","DOIUrl":"https://doi.org/10.2478/gm-2020-0009","url":null,"abstract":"Abstract In the present paper, we find certain results on Ruscheweyh operator using differential inequality. In particular, we find sufficient conditions for starlike and convex functions.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"54 1","pages":"115 - 123"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81769016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On graded derivations of superalgebras 关于超代数的阶导数
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0001
E. Azizpour, Dordi Mohammad Atayi
{"title":"On graded derivations of superalgebras","authors":"E. Azizpour, Dordi Mohammad Atayi","doi":"10.2478/gm-2020-0001","DOIUrl":"https://doi.org/10.2478/gm-2020-0001","url":null,"abstract":"Abstract In this paper, we find conditions under which the bracket defined by a graded derivation on a Lie superalgebra (g, [, ]) is skew-supersymmetry and satisfies the super Jacobi identity, so it defines the structure of a Lie superalgebra on g. In the case of the algebra of differential forms on a supermanifold, we study the graded commutator of graded derivations, graded skew-derivations and a graded derivation, with another graded skew-derivation of the superalgebra of differential forms on a supermanifold.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"15 1","pages":"10 - 3"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89524903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers 与斐波那契数连接的类壳曲线有关的一价和双一价函数的某些子类
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0010
Gurmeet Singh, G. Singh, G. Singh
{"title":"Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers","authors":"Gurmeet Singh, G. Singh, G. Singh","doi":"10.2478/gm-2020-0010","DOIUrl":"https://doi.org/10.2478/gm-2020-0010","url":null,"abstract":"Abstract This paper is concerned with certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers. We find estimates of the initial coefficients |a2| and |a3| for the functions in these classes. Also we investigate upper bounds for the Fekete-Szegö functional and second Hankel determinant for these classes.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"8 1","pages":"125 - 140"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81801548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Common fixed points under contractive conditions of integral type 积分型压缩条件下的公共不动点
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0004
H. Bouhadjera
{"title":"Common fixed points under contractive conditions of integral type","authors":"H. Bouhadjera","doi":"10.2478/gm-2020-0004","DOIUrl":"https://doi.org/10.2478/gm-2020-0004","url":null,"abstract":"Abstract In this paper, we give some common fixed point theorems for a class of occasionally weakly compatible mappings satisfying contractive conditions of integral type. Our results generalize a host of previously theorems. We also present some illustrative examples which support our main results and show the applicability and validity of these results.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"105 1","pages":"41 - 57"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74810694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Calculus for the intermediate point associated with a mean value theorem of the integral calculus 微积分的中间点与积分中值定理有关
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0005
Emilia-Loredana Pop, D. Duca, A. Raţiu
{"title":"Calculus for the intermediate point associated with a mean value theorem of the integral calculus","authors":"Emilia-Loredana Pop, D. Duca, A. Raţiu","doi":"10.2478/gm-2020-0005","DOIUrl":"https://doi.org/10.2478/gm-2020-0005","url":null,"abstract":"Abstract If f, g: [a, b] → 𝕉 are two continuous functions, then there exists a point c ∈ (a, b) such that ∫acf(x)dx+(c-a)g(c)=∫cbg(x)dx+(b-c)f(c). int_a^c {fleft(x right)} dx + left({c - a} right)gleft(c right) = int_c^b {gleft(x right)} dx + left({b - c} right)fleft(c right). In this paper, we study the approaching of the point c towards a, when b approaches a.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"9 1","pages":"59 - 66"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79404290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uniqueness of p(f) and P [f] concerning weakly weighted-sharing p(f)和p [f]关于弱权共享的唯一性
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0002
D. C. Pramanik, Jayanta Roy
{"title":"Uniqueness of p(f) and P [f] concerning weakly weighted-sharing","authors":"D. C. Pramanik, Jayanta Roy","doi":"10.2478/gm-2020-0002","DOIUrl":"https://doi.org/10.2478/gm-2020-0002","url":null,"abstract":"Abstract In the year 2006, S. Lin and W. Lin introduced the definition of weakly weighted-sharing of meromorphic functions which is between “CM” and “IM”. In this paper, using the notion of weakly weighted-sharing, we study the uniqueness of a polynomial function p(f) of f and a homogeneous differential polynomial P [f] generated by f. Our results improve and generalizes the results due to Charak and Lal, S. Lin and W. Lin, and H-Y Xu and Y Hu.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"46 1","pages":"11 - 24"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78470327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Hadamard and Simpson type inequalities via s-convexity and their applications 基于s-凸性的一些Hadamard和Simpson型不等式及其应用
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0003
M. Çakmak, Mevlut Tunc
{"title":"Some Hadamard and Simpson type inequalities via s-convexity and their applications","authors":"M. Çakmak, Mevlut Tunc","doi":"10.2478/gm-2020-0003","DOIUrl":"https://doi.org/10.2478/gm-2020-0003","url":null,"abstract":"Abstract In this study, the authors establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in articles of Sarikaya and Xi.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"131 1","pages":"25 - 39"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79619889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Nonlinear and memory boundary feedback stabilization for Schr¨odinger equations with variable coefficients 变系数Schr¨odinger方程的非线性和记忆边界反馈镇定
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.31559/glm2020.8.2.1
N. Abdesselam
{"title":"Nonlinear and memory boundary feedback stabilization for Schr¨odinger equations with variable coefficients","authors":"N. Abdesselam","doi":"10.31559/glm2020.8.2.1","DOIUrl":"https://doi.org/10.31559/glm2020.8.2.1","url":null,"abstract":"In this paper, the boundary stabilization of Schrödinger equations with variable coefficients by nonlinear and memory feedback is considered. The approch adopted uses Riemannian geometry methods and multipliers techniques.©2020 All rights reserved.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45354610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A refinement of Grüss inequality for the complex integral 复积分的gr<s:1>不等式的一种改进
General Letters in Mathematics Pub Date : 2020-06-01 DOI: 10.2478/gm-2020-0006
S. Dragomir
{"title":"A refinement of Grüss inequality for the complex integral","authors":"S. Dragomir","doi":"10.2478/gm-2020-0006","DOIUrl":"https://doi.org/10.2478/gm-2020-0006","url":null,"abstract":"Abstract Assume that f and g are continuous on γ, γ ⊂ 𝔺 is a piecewise smooth path parametrized by z (t), t ∈ [a, b] from z (a) = u to z (b) = w with w ≠ u and the complex Čebyšev functional is defined by 𝒟γ(f,g):=1w-u∫γf(z)g(z)dz-1w-u∫γf(z)dz1w-u∫γg(z)dz. {{cal D}_gamma}left({f,g} right): = {1 over {w - u}}int_gamma {fleft(z right)} gleft(z right)dz - {1 over {w - u}}int_gamma {fleft(z right)} dz{1 over {w - u}}int_gamma {gleft(z right)} dz. In this paper we establish some Grüss type inequalities for 𝒟 (f, g) under some complex boundedness conditions for the functions f and g.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"11 1","pages":"67 - 83"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83178304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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