New Generalized Ostrowski-Type Fractional Integral Inequalities

Jichang Kuang () and Michael Th. Rassias ()
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Jichang Kuang: Hunan Normal University
Michael Th. Rassias: Hellenic Military Academy

A chapter in Geometry and Non-Convex Optimization, 2025, pp 203-236 from Springer

Abstract: Abstract We introduce new generalized exponentially strongly convex functions. We establish some new generalized Ostrowski-type inequalities for fractional integrals via generalized exponentially strongly convex functions. Through different selections of these parameters in this new class of convex functions, some important special cases in the above inequalities are given. The corresponding inequalities for different exponential-type convex functions are also obtained.

Keywords: Generalized exponentially strongly convex function; Ostrowski type inequality; Fractional integral (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-87057-6_8

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DOI: 10.1007/978-3-031-87057-6_8

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