Some New Inequalities Involving κ -Fractional Integral for Certain Classes of Functions and Their Applications

Shuang-Shuang Zhou; Saima Rashid; Silvestru Sever Dragomir; Muhammad Amer Latif; Ahmet Ocak Akdemir; Jia-Bao Liu

doi:10.1155/2020/5285147

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Some New Inequalities Involving κ -Fractional Integral for Certain Classes of Functions and Their Applications

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Some New Inequalities Involving κ -Fractional Integral for Certain Classes of Functions and Their Applications

Shuang-Shuang Zhou, Saima Rashid, Silvestru Sever Dragomir, Muhammad Amer Latif, Ahmet Ocak Akdemir and Jia-Bao Liu

Journal of function spaces, Vol.2020, pp.1-14

01/01/2020

DOI: https://doi.org/10.1155/2020/5285147

Abstract

In this article, we present several new inequalities involving the κ -fractional integral for the integrable function ℱ which satisfies one of the following conditions: a ℱ q is preinvex for some q > 1 ; b ℱ ′ is bounded; c ℱ ′ is a Lipschitz function. As applications, we establish new inequalities for the weighted arithmetic and generalized logarithmic means.

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Title: Some New Inequalities Involving κ -Fractional Integral for Certain Classes of Functions and Their Applications
Creators - without role: Shuang-Shuang Zhou - Hunan City University
Saima Rashid - Government College University, Faisalabad
Silvestru Sever Dragomir - University of Melbourne
Muhammad Amer Latif - University of Ha'il
Ahmet Ocak Akdemir - Ağrı İbrahim Çeçen University
Jia-Bao Liu - School of Mathematics and Physics, Anhui Institute of Architecture and Industry, Hefei 230601, China
Publication Details: Journal of function spaces, Vol.2020, pp.1-14
Identifiers: 9920301308331
Academic Unit: King Faisal University
Language: English
Resource Type: Journal article