Some weighted integral inequalities for differentiable \(h\)-preinvex functions

DOI10.1515/gmj-2016-0081zbMath1400.26055OpenAlexW2578939907MaRDI QIDQ1789429

Ebrahim Momoniat, Sever Silvestru Dragomir, Muhammad Amer Latif

Publication date: 10 October 2018

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0081

zbMATH Keywords

preinvex functionHermite-Hadamard inequalityHölder integral inequalityinvex setpower-mean inequality\(h\)-preinvex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Related Items (3)

Estimates of bounds on the weighted Simpson type inequality and their applications ⋮ Certain new bounds considering the weighted Simpson-like type inequality and applications ⋮ Hadamard \(k\)-fractional inequalities of Fejér type for GA-\(s\)-convex mappings and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
• On the generalization of some integral inequalities and their applications
• Inequalities for \(h\)-preinvex functions
• Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are convex with applications
• Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables
• On the weighted generalization of the Hermite-Hadamard inequality and its applications
• On \(h\)-convexity
• A superadditive property of Hadamard's gamma function
• Pre-invex functions in multiple objective optimization
• Two mappings in connection to Hadamard's inequalities
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Some inequalities for differentiable convex and concave mappings
• Some inequalities for differentiable convex mapping with application to weighted midpoint formula and higher moments of random variables
• Mean value in invexity analysis
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• Some weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications
• Hermite-Hadamard type inequalities for \(n\)-times differentiable and preinvex functions
• Generalizations and refinements of Hermite-Hadamard's inequality
• On some Hadamard-type inequalities for \((h_1, h_2)\)-preinvex functions on the co-ordinates
• Some New Inequalities of Hermite-Hadamard's Type
• On Hermite-Hadamard Type Integral Inequalities for preinvex and log-preinvex functions

This page was built for publication: Some weighted integral inequalities for differentiable \(h\)-preinvex functions