Conformable fractional integral inequalities for \(GG\)- and \(GA\)-convex functions

From MaRDI portal
Publication:2129874

DOI10.3934/math.2020322zbMath1484.26074OpenAlexW3035148946MaRDI QIDQ2129874

Muhammad Adil Khan, Yu-Ming Chu, Yousaf Khurshid

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020322




Related Items (41)

Estimates of quantum bounds pertaining to new \(q\)-integral identity with applicationsCertain new weighted estimates proposing generalized proportional fractional operator in another senseSome new Simpson-type inequalities for generalized \(p\)-convex function on fractal sets with applicationsFractional inclusions of the Hermite-Hadamard type for \(m\)-polynomial convex interval-valued functionsNew fractional approaches for \(n\)-polynomial \(\mathcal{P}\)-convexity with applications in special function theoryA new \(q\)-integral identity and estimation of its bounds involving generalized exponentially \(\mu\)-preinvex functionsBounds for the remainder in Simpson's inequality via \(n\)-polynomial convex functions of higher order using Katugampola fractional integralsConformable integral version of Hermite-Hadamard-Fejér inequalities via \(\eta\)-convex functionsNew Cusa-Huygens type inequalitiesHermite-Hadamard inequality for new generalized conformable fractional operatorsSome generalized fractional integral Simpson's type inequalities with applicationsCertain novel estimates within fractional calculus theory on time scalesRevisiting the Hermite-Hadamard fractional integral inequality via a Green functionSome unified bounds for exponentially \(tgs\)-convex functions governed by conformable fractional operatorsA variant of Jensen-type inequality and related results for harmonic convex functionsOn some refinements for inequalities involving zero-balanced hypergeometric functionNew Hermite-Hadamard type inequalities for exponentially convex functions and applicationsA new approach on fractional calculus and probability density functionSome new \((p_1p_2,q_1q_2)\)-estimates of Ostrowski-type integral inequalities via \(n\)-polynomials \(s\)-type convexityThe strong convex functions and related inequalitiesNew post quantum analogues of Ostrowski-type inequalities using new definitions of left-right \((p,q)\)-derivatives and definite integralsNew Hermite-Jensen-Mercer-type inequalities via \(k\)-fractional integralsREVISITING FEJÉR–HERMITE–HADAMARD TYPE INEQUALITIES IN FRACTAL DOMAIN AND APPLICATIONSOn generalizations of some integral inequalities for preinvex functions via \((p,q)\)-calculusA novel comprehensive analysis on generalized harmonically ψ‐convex with respect to Raina's function on fractal set with applicationsSchur convexity and inequalities for a multivariate symmetric functionNew estimates of \(q_1 q_2\)-Ostrowski-type inequalities within a class of \(n\)-polynomial prevexity of functionsOn new unified bounds for a family of functions via fractional \(q\)-calculus theoryOn new modifications governed by quantum Hahn's integral operator pertaining to fractional calculusSome trapezium-like inequalities involving functions having strongly \(n\)-polynomial preinvexity property of higher orderUnnamed ItemUnnamed ItemUnnamed ItemMonotonicity properties and bounds for the complete \(p\)-elliptic integralsInequalities for the generalized weighted mean values of \(g\)-convex functions with applicationsSome inequalities for a new class of convex functions with applications via local fractional integralUnnamed ItemNew \((p, q)\)-estimates for different types of integral inequalities via \((\alpha, m)\)-convex mappingsRefinements of some Hardy-Littlewood-Pólya type inequalities via Green's functions and Fink's identity and related resultsA necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power meanOn post quantum integral inequalities



Cites Work


This page was built for publication: Conformable fractional integral inequalities for \(GG\)- and \(GA\)-convex functions