Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications. (29th April 2020)

• Record Type: Journal Article
• Authors: Zhou, Shuang-Shuang; Rashid, Saima; Dragomir, Silvestru Sever; Latif, Muhammad Amer; Akdemir, Ahmet Ocak; Liu, Jia-Bao
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-04-29
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/5285147
• Languages: English
• ISSNs: 2314-8896

Abstract

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.