On some new generalized fractional inequalities for twice differentiable functions

DOI10.1007/s40065-022-00381-1zbMath1506.26014OpenAlexW4283756786MaRDI QIDQ2091734

Melike Yavuz, Hasan Kara, Hüseyin Budak

Publication date: 2 November 2022

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-022-00381-1

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the generalization of some integral inequalities and their applications
• On new inequalities of Simpson's type for \(s\)-convex functions
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• A generalization of Simpson's inequality via differentiable mapping using extended \((s,m)\)-convex functions
• Refinements of Hermite-Hadamard inequalities for functions when a power of the absolute value of the second derivative is \(P\)-convex
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• New version of fractional Simpson type inequalities for twice differentiable functions
• On generalized fractional integral inequalities for twice differentiable convex functions
• Simpson type integral inequalities for generalized fractional integral
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings
• Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions
• ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS
• New generalization of midpoint type inequalities for fractional integral
• PROPERTIES AND INTEGRAL INEQUALITIES ARISING FROM THE GENERALIZED n-POLYNOMIAL CONVEXITY IN THE FRAME OF FRACTAL SPACE
• New generalized midpoint type inequalities for fractional integral
• GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE-HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALS
• On the fractional integral inclusions having exponential kernels for interval-valued convex functions

This page was built for publication: On some new generalized fractional inequalities for twice differentiable functions