Integral inequalities for mappings whose derivatives are (h, m, s)-convex modified of second type via Katugampola integrals

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BAYRAKTAR B., Valdas J. E. N.

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, vol.49, no.2, pp.371-383, 2022 (ESCI)

• Publication Type: Article / Article
• Volume: 49 Issue: 2
• Publication Date: 2022
• Doi Number: 10.52846/ami.v49i2.1596
• Journal Name: ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Page Numbers: pp.371-383
• Bursa Uludag University Affiliated: Yes

Abstract

In this paper, using the definition of functions (h, m, s)-convex modified of sec-ond type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.