On the refinements of some important inequalities via \((p,q)\)-calculus and their applications

DOI10.1186/s13660-021-02617-8zbMath1504.26017OpenAlexW3165796648MaRDI QIDQ2072846

C. Y. Luo, Bo Yu, Ting-Song Du

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02617-8

zbMATH Keywords

Hermite-Hadamard inequalityconvex mappings\((p,q)\)-integral inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Cites Work

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• New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
• Hermite-Hadamard and Ostrowski type inequalities on hemispheres
• Sharp integral inequalities of the Hermite-Hadamard type
• Some quantum estimates for Hermite-Hadamard inequalities
• A generalization of Simpson's inequality via differentiable mapping using extended \((s,m)\)-convex functions
• \((p,q) \)-Hermite-Hadamard inequalities and \((p,q) \)-estimates for midpoint type inequalities via convex and quasi-convex functions
• On some Hardy-type inequalities for fractional calculus operators
• The Sugeno integral with respect to \(\alpha\)-preinvex functions
• New refinements for integral and sum forms of Hölder inequality
• New parameterized quantum integral inequalities via \(\eta\)-quasiconvexity
• On generalization of midpoint type inequalities with generalized fractional integral operators
• Fekete-Szegö inequality for classes of \((p, q)\)-starlike and \((p, q)\)-convex functions
• \((p,q)\)-type beta functions of second kind
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• SOME EXTENDED TRAPEZOID-TYPE INEQUALITIES AND APPLICATIONS
• Bounds having Riemann type quantum integrals via strongly convex functions
• New Hermite-Hadamard inequalities for twice differentiable ϕ -MT-preinvex functions
• Convexity results and sharp error estimates in approximate multivariate integration
• Simpson type quantum integral inequalities for convex functions
• Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity
• SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS
• Quantum Hermite-Hadamard inequalities for double integral and q-differentiable convex functions
• Sharp Error Estimates for Interpolatory Approximation on Convex Polytopes
• On q-Opial type inequality for quantum integral

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