Hermite-Hadamard's trapezoid and mid-point type inequalities on a disk

DOI10.1186/s13660-019-2061-3zbMath1499.26177OpenAlexW2938077392MaRDI QIDQ2067830

Sever Silvestru Dragomir, M. Rostamian Delavar, Manuel de la Sen

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2061-3

zbMATH Keywords

Hermite-Hadamard inequalityconvex functions of double variabletrapezoid and mid-point type inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32) Convexity of real functions in one variable, generalizations (26A51) Numerical integration (65D30) Other analytical inequalities (26D20)

Cites Work

• Unnamed Item
• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Some inequalities for differentiable convex and concave mappings
• 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
• On some inequality of Hermite-Hadamard type
• On η-convexity
• On some Hadamard-type inequalities for h-convex functions
• Inequalities of Hadamard's type for Lipschitzian mappings

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