Hermite-Hadamard and Fejer-type inequalities for generalized ?-convex stochastic processes

被引：2

作者：

Bisht, Jaya ^{[1
]}

Mishra, Rohan ^{[2
]}

Hamdi, A. ^{[3
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi, India

[2] Banaras Hindu Univ, Inst Sci, Dept Stat, Varanasi, India

[3] Qatar Univ, Coll Arts & Sci, Dept Math Stat & Phys, Math Program, POB 2713, Doha, Qatar

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 15期

关键词：

Hermite-Hadamard inequality; convex stochastic processes; eta-convex stochastic processes; coordinated convex stochastic processes;

D O I：

10.1080/03610926.2023.2218506

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article, we introduce the concept of (?(1),?(2))-convex stochastic processes on coordinates and establish Hermite-Hadamard-type inequality for these stochastic processes. Moreover, we prove new integral inequality of Hermite-Hadamard-Fejer type for newly defined coordinated ?-convex stochastic processes on a rectangle. The results presented in this article would provide extensions of those given in earlier works.

引用

页码：5299 / 5310

页数：12

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