HERMITE–HADAMARD TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED s-PREINVEX FUNCTIONS AND THEIR GENERALIZATION

DOI10.1142/S0218348X21500985zbMath1487.26055OpenAlexW3114355421MaRDI QIDQ5023969

Wenbing Sun

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21500985

zbMATH Keywords

numerical integrationfractal setsHermite-Hadamard-type inequalitieslocal fractional integralgeneralized \(s\)-preinvex convex function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (11)

Some Hermite-Hadamard type inequalities for generalized \(h\)-preinvex function via local fractional integrals and their applications ⋮ Some integral inequalities for generalized preinvex functions with applications ⋮ HERMITE–HADAMARD TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH MITTAG-LEFFLER KERNEL FOR GENERALIZED PREINVEX FUNCTIONS ⋮ Certain generalized Riemann-Liouville fractional integrals inequalities based on exponentially \((h, m)\)-preinvexity ⋮ THE SIMPSON-TYPE INTEGRAL INEQUALITIES INVOLVING TWICE LOCAL FRACTIONAL DIFFERENTIABLE GENERALIZED (s,P)-CONVEXITY AND THEIR APPLICATIONS ⋮ MILNE-TYPE FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED m-CONVEX MAPPING ⋮ New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized \(h\)-preinvex functions ⋮ On local fractional integral inequalities via generalized \((\tilde{h}_1, \tilde{h}_2)\)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel ⋮ Some Hermite‐Hadamard's type local fractional integral inequalities for generalized γ‐preinvex function with applications ⋮ Certain error bounds on the parameterized integral inequalities in the sense of fractal sets ⋮ Estimation of the parameterized integral inequalities involving generalized \(p\)-convex mappings on fractal sets and related applications

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