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On Certain Inequalities for Several Kinds of Strongly Convex Functions for q-h-Integralsopen access

Authors
Farid, GhulamAkram, WajidaTawfiq, Ferdous M. O.Ro, Jong-SukTchier, FairouzZainab, Saira
Issue Date
Oct-2023
Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
Keywords
convex function; Hermite–Hadamard inequality; q-derivative/integral; q-h-derivative/integral; strongly convex function
Citation
Fractal and Fractional, v.7, no.10
Journal Title
Fractal and Fractional
Volume
7
Number
10
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/68693
DOI
10.3390/fractalfract7100705
ISSN
2504-3110
2504-3110
Abstract
This article investigates inequalities for certain types of strongly convex functions by applying q-h-integrals. These inequalities provide the refinements of some well-known results that hold for (Formula presented.) - and (Formula presented.) - (Formula presented.) -convex and related functions. Inequalities for q-integrals are deducible by vanishing the parameter h. Some particular cases are discussed after proving the main results. © 2023 by the authors.
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