Schur, Hermite-Hadamard, and Fejér type inequalities for the class of higher-order generalized convex functions

DOI10.1155/2022/8575563zbMath1503.26065OpenAlexW4293084153MaRDI QIDQ2158472

Imran Bashir, Yeliang Xiao, Muhammad Shoaib Saleem, Yi Ma

Publication date: 26 July 2022

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

Full work available at URL: https://doi.org/10.1155/2022/8575563

Mathematics Subject Classification ID

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

Cites Work

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• On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem
• New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
• Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
• Strong \(h\)-convexity and separation theorems
• Characterizations of inner product spaces by strongly convex functions
• New inequalities of Hermite-Hadamard type via \(s\)-convex functions in the second sense with applications
• On generalized strongly \(p\)-convex functions of higher order
• On \(h\)-convexity
• Advances in mathematical inequalities and applications
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• Multiplicative properties of real functions with applications to classical functions
• Inequalities for the generalized weighted mean values of \(g\)-convex functions with applications
• On the Hermite-Hadamard type inequality for \(\psi\)-Riemann-Liouville fractional integrals via convex functions
• On generalized strongly modified \(h\)-convex functions
• A new bound for the Jensen gap pertaining twice differentiable functions with applications
• A variant of Jensen-type inequality and related results for harmonic convex functions
• Petrović-type inequalities for harmonic \(h\)-convex functions
• Ostrowski-type inequalities via \(h\)-convex functions with applications to special means
• On φ-convex functions
• Generalizations of Hermite--Hadamard type inequalities for MT-convex functions
• Characterizations and decomposition of strongly Wright-convex functions of higher order
• Fractional Calculus
• Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law
• n-exponential convexity of weighted Hermite-Hadamard's inequality
• Characterizations of convexity via Hadamard's inequality
• Existence Theorem and Convergence of Minimizing Sequences in Extremum Problems

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