Sharp trapezoid and mid-point type inequalities on closed balls in \(\mathbb{R}^3\)

DOI10.1186/s13660-020-02377-xzbMath1503.26021OpenAlexW3030631124MaRDI QIDQ2069408

M. Rostamian Delavar

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02377-x

zbMATH Keywords

spherical coordinatesHermite-Hadamard inequalitymid-point type inequalitytrapezoid type inequality

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (1)

Sharp estimation type inequalities for Lipschitzian mappings in Euclidean sense on a disk

Cites Work

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• On Hadamard's inequality for \(h\)-convex function on a disk
• Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables
• Sharp integral inequalities of the Hermite-Hadamard type
• On \(h\)-convexity
• 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
• Weighted trapezoidal inequalities related to the area balance of a function with applications
• Applications of the Hermite-Hadamard inequality
• On η-convexity
• Inequalities Involving Multivariate Convex Functions II
• The Hermite—Hadamard Inequality on Simplices
• On Hadamard's inequality for the convex mappings defined on a ball in the space and applications
• Convexity results and sharp error estimates in approximate multivariate integration
• A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
• Convex functions and their applications. A contemporary approach

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