Some New Inequalities on Generalization of Hermite-Hadamard and Bullen Type Inequalities, Applications to Trapezoidal and Midpoint Formula

DOI10.46793/KgJMat2104.647IzbMath1499.26125OpenAlexW3196218474MaRDI QIDQ5035230

Fatih Yetgin, Tekin Toplu, İmdat İşcan

Publication date: 21 February 2022

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

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/66/12_eng.html

zbMATH Keywords

convex functionsHermite-Hadamard-type inequalitygeneral integral inequalitiesBullen-type inequalitytrapezoidal and midpoint formula

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Related Items (3)

On some new generalized fractional Bullen-type inequalities with applications ⋮ On new general inequalities for \(s\)-convex functions and their applications ⋮ Some Newton's like inequalities with applications

Cites Work

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• Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means
• Two inequalities for differentiable mappings and applications to weighted trapezoidal formula, weighted midpoint formula and random variable
• Convex functions, partial orderings, and statistical applications
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Inequalities for differentiable mappings with application to special means and quadrature formulæ

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