New fractional estimates of Simpson-Mercer type for twice differentiable mappings pertaining to Mittag-Leffler kernel

DOI10.1155/2022/4842344OpenAlexW4294690692MaRDI QIDQ2086486

Saima Rashid, Khuram Ali Khan, Saad Ihsan Butt, Rostin Matendo Mabela, Iram Javed

Publication date: 25 October 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/4842344

Mathematics Subject Classification ID

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

Cites Work

• On new inequalities of Simpson's type for \(s\)-convex functions
• A generalization of Mercer's result on convex functions
• Fractals and fractional calculus in continuum mechanics
• Advances in mathematical inequalities and applications
• Numerical simulation of fractional-order dynamical systems in noisy environments
• On fractional derivatives with exponential kernel and their discrete versions
• Finite difference method for solving fractional differential equations at irregular meshes
• A new bound for the Jensen gap pertaining twice differentiable functions with applications
• New Hadamard-type integral inequalities via a general form of fractional integral operators
• New Hermite-Jensen-Mercer-type inequalities via \(k\)-fractional integrals
• Fractional calculus in the sky
• New version of fractional Simpson type inequalities for twice differentiable functions
• New estimates for Csiszár divergence and Zipf-Mandelbrot entropy via Jensen-Mercer's inequality
• A new definition of fractional derivative
• Monotonicity properties of \(q\)-digamma and \(q\)-trigamma functions
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• On New Inequalities of Simpson’s Type for Functions Whose Second Derivatives Absolute Values are Convex
• Improvement and generalization of some Jensen-Mercer-type inequalities
• Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
• Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law
• Some notes on Jensen-Mercer's type inequalities; extensions and refinements with applications
• JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS
• Complete monotonicity properties of functions involving q-gamma and q-digamma functions
• Refinements of the operator Jensen-Mercer inequality
• Unnamed Item
• Unnamed Item
• Unnamed Item