Article ID: MTJPAM-D-23-00018

Title: Integral inequalities of Hermite–Hadamard type for products of s-logarithmically convex functions


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-23-00018; Volume 5 / Issue 2 / Year 2023, Pages 1-5

Document Type: Research Paper

Author(s): Tian-Yu Zhang a , Ai-Ping Ji b , Feng Qi c

aCollege of Mathematical Sciences, Inner Mongolia Minzu University, Tongliao 028043, Inner Mongolia, China

bCollege of Mathematical Sciences, Inner Mongolia Minzu University, Tongliao 028043, Inner Mongolia, China

cSchool of Mathematics and Physics, Hulunbuir University, Hulunbuir 021008, Inner Mongolia, China – School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China – Independent researcher, Dallas, TX 75252-8024, USA

Received: 26 July 2023, Accepted: 30 August 2023, Published: 14 September 2023

Corresponding Author: Feng Qi (Email address: honest.john.china@gmail.com)

Full Text: PDF

Abstract

In this paper, the authors establish several new integral inequalities of the Hermite–Hadamard type for the products of s-logarithmically convex functions and present simple applications to construct inequalities of the arithmetic and (generalized) logarithmic means.

Keywords: Hermite–Hadamard type, s-logarithmically convex function, product, mean, integral inequality

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