Novel Ostrowski type inequalities via exponentially (<i>m</i>₁, <i>m</i>₂)-convex functions and their applications

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Butt S. i., BAYRAKTAR B., Nasir J.

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, no.2, pp.488-504, 2024 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2024
• Doi Number: 10.52846/ami.v51i2.1888
• 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.488-504
• Bursa Uludag University Affiliated: Yes

Abstract

In this work, we introduce and explore the new concept of convexity class, namely exponential (m(1), m(2))-convex functions along with some examples. In extension, we perform an artistic analysis of the properties of this class. We give the formulation of the new quadrature type identity. Based on this identity, we obtain some integral inequalities for the introduced convex functions via fractional operators tool. In addition, specific means of different positive real numbers and some new limits for the q- digamma function are also presented.