(h,m)-凸修正函数的Hermite-Hadamard加权积分不等式

Fractional Differential Calculus Pub Date : 1900-01-01 DOI:10.7153/fdc-2022-12-15

B. Bayraktar, J. N. Nápoles Valdés

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引用次数: 3

摘要

．本文得到了(h, m) -凸模定函数的一些新的Hermite-Hadamard型积分不等式。利用广义加权积分算子的凸性、H′older不等式及其模性，给出了广义加权积分算子的定义，得到了上述结果。文献中存在的一些结果是我们结果的一些特例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions

. In this paper, some new integral inequalities of the Hermite–Hadamard type are were obtained for ( h , m ) -convex modi ﬁ ed functions. The results are obtained on the basis of the introduced de ﬁ nition of a generalized weighted integral operator by using the convexity property, the well-known H¨older’s inequality and its modi ﬁ cation. Some results existing in the literature are some special cases of our results.

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来源期刊

Fractional Differential Calculus

CiteScore

1.30

自引率

0.00%

发文量