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On extended $ k $-generalized Mittag-Leffler function and its properties 扩展k -广义Mittag-Leffler函数及其性质
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023041
Shilpi Jain, B.B. Jaimini, Meenu Buri, Praveen Agarwal
{"title":"On extended $ k $-generalized Mittag-Leffler function and its properties","authors":"Shilpi Jain, B.B. Jaimini, Meenu Buri, Praveen Agarwal","doi":"10.3934/mfc.2023041","DOIUrl":"https://doi.org/10.3934/mfc.2023041","url":null,"abstract":"In this current paper, we are using the concept of extension of the beta function to define an extended $ k $-generalized Mittag-Leffler function (GMLf) $ E_{k, l, m}^{rho, sigma;c}(x;p) $. There are four sections included in this paper containing some properties of the above-described function, like derivatives, integral representation, and integral transform. The establishment of some recurrence relations has also been done. We also derive the extended $ k $-GMLf from the extended $ k $-Riemann-Liouville (R-L) fractional derivative of generalized MLf. Numerous former results studied by many researchers can also be derived as special cases of our results.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136306319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a special class of modified integral operators preserving some exponential functions 一类保留指数函数的修正积分算子
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2021044
G. Uysal
{"title":"On a special class of modified integral operators preserving some exponential functions","authors":"G. Uysal","doi":"10.3934/mfc.2021044","DOIUrl":"https://doi.org/10.3934/mfc.2021044","url":null,"abstract":"<p style='text-indent:20px;'>In the present paper, we consider a general class of operators enriched with some properties in order to act on <inline-formula><tex-math id=\"M1\">begin{document}$ C^{ast }( mathbb{R} _{0}^{+}) $end{document}</tex-math></inline-formula>. We establish uniform convergence of the operators for every function in <inline-formula><tex-math id=\"M2\">begin{document}$ C^{ast }( mathbb{R} _{0}^{+}) $end{document}</tex-math></inline-formula> on <inline-formula><tex-math id=\"M3\">begin{document}$ mathbb{R} _{0}^{+} $end{document}</tex-math></inline-formula>. Then, a quantitative result is proved. A quantitative Voronovskaya-type estimate is obtained. Finally, some applications are provided concerning particular kernel functions.</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":"78-93"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83126343","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: 1
Approximation by pseudo-linear discrete operators 伪线性离散算子的近似
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2021037
Ismail Aslan, Türkan Yeliz Gökçer
{"title":"Approximation by pseudo-linear discrete operators","authors":"Ismail Aslan, Türkan Yeliz Gökçer","doi":"10.3934/mfc.2021037","DOIUrl":"https://doi.org/10.3934/mfc.2021037","url":null,"abstract":"In this note, we construct a pseudo-linear kind discrete operator based on the continuous and nondecreasing generator function. Then, we obtain an approximation to uniformly continuous functions through this new operator. Furthermore, we calculate the error estimation of this approach with a modulus of continuity based on a generator function. The obtained results are supported by visualizing with an explicit example. Finally, we investigate the relation between discrete operators and generalized sampling series.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"84 1","pages":"1-13"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77651541","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
Degree of convergence of a function in generalized Zygmund space 广义Zygmund空间中函数的收敛度
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022029
H. K. Nigam, M. Mursaleen, M. Sah
{"title":"Degree of convergence of a function in generalized Zygmund space","authors":"H. K. Nigam, M. Mursaleen, M. Sah","doi":"10.3934/mfc.2022029","DOIUrl":"https://doi.org/10.3934/mfc.2022029","url":null,"abstract":"<p style='text-indent:20px;'>In this paper, we obtain the results on the degree of convergence of a function of Fourier series in generalized Zygmund space using deferred Cesàro-generalized Nörlund <inline-formula><tex-math id=\"M1\">begin{document}$ (D^{h}_{g}N^{a,b}) $end{document}</tex-math></inline-formula> transformation. Important corollaries are deduced from our main results. Some applications are also given in support of our main results.</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"8 1","pages":"484-499"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77787626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multivalued rational type F-contraction on orthogonal metric space 正交度量空间上的多值有理型f收缩
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022026
Ö. Acar, A. S. Özkapu
{"title":"Multivalued rational type F-contraction on orthogonal metric space","authors":"Ö. Acar, A. S. Özkapu","doi":"10.3934/mfc.2022026","DOIUrl":"https://doi.org/10.3934/mfc.2022026","url":null,"abstract":"<p style='text-indent:20px;'>In this paper, we consider the notion of multivalued rational type <inline-formula><tex-math id=\"M1\">begin{document}$ F- $end{document}</tex-math></inline-formula> contraction mappings and prove fixed point theorems for this type mappings. Also we give an illustrative example.</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"7 1","pages":"303-312"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84667887","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
On modified Post-Widder operators which fix exponentials 修正的修正后- widder算子固定指数
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023015
G. Greubel
{"title":"On modified Post-Widder operators which fix exponentials","authors":"G. Greubel","doi":"10.3934/mfc.2023015","DOIUrl":"https://doi.org/10.3934/mfc.2023015","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"32 1","pages":"404-412"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83950353","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
Fuzzy stability of mixed type functional equations in Modular spaces 模空间中混合型泛函方程的模糊稳定性
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023019
Jagjeet Jakhar, Jyotsana Jakhar, R. Chugh
{"title":"Fuzzy stability of mixed type functional equations in Modular spaces","authors":"Jagjeet Jakhar, Jyotsana Jakhar, R. Chugh","doi":"10.3934/mfc.2023019","DOIUrl":"https://doi.org/10.3934/mfc.2023019","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220642","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
Parameters identification and trajectory optimization of free-floating space robots 自由漂浮空间机器人的参数辨识与轨迹优化
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023027
Deshan Meng, Yanan Li, Ruiqi Wang, Xudong Zheng
{"title":"Parameters identification and trajectory optimization of free-floating space robots","authors":"Deshan Meng, Yanan Li, Ruiqi Wang, Xudong Zheng","doi":"10.3934/mfc.2023027","DOIUrl":"https://doi.org/10.3934/mfc.2023027","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70221037","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 new hybrid CG method as convex combination 一种新的混合CG方法——凸组合法
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023028
Amina Hallal, M. Belloufi, B. Sellami
{"title":"A new hybrid CG method as convex combination","authors":"Amina Hallal, M. Belloufi, B. Sellami","doi":"10.3934/mfc.2023028","DOIUrl":"https://doi.org/10.3934/mfc.2023028","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70221056","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 generalization of szász operators with the help of new kind Appell polynomials 借助一类新的阿佩尔多项式对szász算子的推广
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023038
Gürhan İÇÖZ, Zehra Tat
{"title":"A generalization of szász operators with the help of new kind Appell polynomials","authors":"Gürhan İÇÖZ, Zehra Tat","doi":"10.3934/mfc.2023038","DOIUrl":"https://doi.org/10.3934/mfc.2023038","url":null,"abstract":"In this article, we define a new operator by Appell polynomials. Primarily, some equations are obtained by using the properties of Korovkin theorem. Later, the convergence of the operator sequence that we have defined has been proved and some approximation results have been given by using the properties of approximation theory.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135557381","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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