Hermite-Hadamard and simpson-like type inequalities for differentiable p-quasi-convex functions

DOI10.2298/FIL1719945IzbMath1499.26126MaRDI QIDQ5022788

İmdat İşcan, Sercan Turhan, Selahattin Maden

Publication date: 19 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Simpson inequalityHermite-Hadamard-type inequality\(p\)-quasi-convex functions

Mathematics Subject Classification ID

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

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Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function ⋮ Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions ⋮ Some parameterized integral inequalities for \(p\)-convex mappings via the right Katugampola fractional integrals ⋮ Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings ⋮ fgh -Convex Functions and Entropy Bounds ⋮ Certain new bounds considering the weighted Simpson-like type inequality and applications ⋮ Discrete majorization type inequalities for convex functions on rectangles ⋮ Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications ⋮ Hermite-Hadamard type inequalities for \(m\)-convex and \(( \alpha , m)\)-convex functions ⋮ ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS

Cites Work

• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• New general integral inequalities for quasi-geometrically convex functions via fractional integrals
• On the \((p, h)\)-convex function and some integral inequalities
• Trapezoidal like inequalities via harmonic \(h\)-convex functions on the co-ordinates in a rectangle from the plane
• Hermite-Hadamard type inequalities for harmonically convex functions
• Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions
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