FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION WITH APPLICATIONS

Yongfang Qi and Guoping Li
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Yongfang Qi: Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China
Guoping Li: ��Scientific Research Planning Division, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-12

Abstract: In this paper, we introduce (s,m)-convex function, and obtain a new identity by the method called integrating by parts. Based on the identity, many Ostrowski type inequalities are presented through the Hölder’s inequality and the well-known power-mean inequality. Under certain conditions, the results we obtained can be transformed into the classical results. Of course, at the end of the paper, some examples are given to support the main results.

Keywords: Ostrowski Type Inequality; (s; m)-convex Function; Fractional Integrals (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23501281

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