GENERALIZED h-CONVEXITY ON FRACTAL SETS AND SOME GENERALIZED HADAMARD-TYPE INEQUALITIES

DOI10.1142/S0218348X20500218zbMath1434.28036OpenAlexW2986796679WikidataQ126845623 ScholiaQ126845623MaRDI QIDQ5112663

Wenbing Sun

Publication date: 4 June 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20500218

zbMATH Keywords

fractal setsHermite-Hadamard-type inequalitiesgeneralized \(h\)-convex functiongeneralized \(P\)-functiongeneralized godunova-Levin function

Mathematics Subject Classification ID

Fractals (28A80) 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 ⋮ HERMITE–HADAMARD–FEJÉR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE ⋮ PROPERTIES AND INTEGRAL INEQUALITIES INVOLVING WITH THE GENERALIZED s-TYPE PREINVEX MAPPINGS IN FRACTAL SPACE ⋮ DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION ⋮ PROPERTIES AND INTEGRAL INEQUALITIES ARISING FROM THE GENERALIZED n-POLYNOMIAL CONVEXITY IN THE FRAME OF FRACTAL SPACE ⋮ AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES ⋮ THE SIMPSON-TYPE INTEGRAL INEQUALITIES INVOLVING TWICE LOCAL FRACTIONAL DIFFERENTIABLE GENERALIZED (s,P)-CONVEXITY AND THEIR APPLICATIONS ⋮ 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 ⋮ LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS ⋮ NEW HERMITE–HADAMARD–FEJÉR TYPE INEQUALITIES VIA RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS FOR CONVEX FUNCTIONS

Cites Work

• On \(h\)-convexity
• Generalized \(s\)-convex functions on fractal sets
• Generalized convex functions on fractal sets and two related inequalities
• A generalization of Simpson's inequality via differentiable mapping using extended \((s,m)\)-convex functions
• A new computational approach for solving nonlinear local fractional PDEs
• Hermite-Hadamard-type inequalities for generalized \(s\)-convex functions on real linear fractal set \(\mathbb {R}^{\alpha }\) (\(0<\alpha <1\))
• Local fractional integrals involving generalized strongly \(m\)-convex mappings
• Generalized Ostrowski type inequalities for local fractional integrals
• On some Hadamard-type inequalities for h-convex functions
• Fractional differentiability of nowhere differentiable functions and dimensions
• On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
• Local fractional analytical methods for solving wave equations with local fractional derivative
• Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity
• Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities
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