Some new inequalities of Simpson type for strongly \(s\)-convex functions

DOI10.1007/s13370-014-0242-2zbMath1323.26025OpenAlexW2045342025MaRDI QIDQ497006

Bo-Yan Xi, Jü Hua, Feng Qi

Publication date: 23 September 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0242-2

zbMATH Keywords

Hölder inequalityintegral identitySimpson type inequalitystrongly \(s\)-convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Means (26E60)

Related Items (10)

Integral inequalities of Hermite-Hadamard type for extended \(s\)-convex functions and applications ⋮ On Generalizations of Integral Inequalities ⋮ New version of fractional Simpson type inequalities for twice differentiable functions ⋮ Integral inequalities of Simpson type via weighted integrals ⋮ Weighted Simpson-like type inequalities for quasi-convex functions ⋮ Parameterized Simpson-like inequalities for differential \(s\)-convex functions ⋮ SIMPSON-LIKE INEQUALITIES FOR TWICE DIFFERENTIABLE (s,P)-CONVEX MAPPINGS INVOLVING WITH AB-FRACTIONAL INTEGRALS AND THEIR APPLICATIONS ⋮ Unnamed Item ⋮ Coordinate strongly s-convex functions and related results ⋮ Some inequalities for reciprocally (s,m)-convex in the second sense functions and applications to special means

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some inequalities of Hermite-Hadamard type for \(s\)-convex functions
• On new inequalities of Simpson's type for \(s\)-convex functions
• Hadamard-type inequalities for s-convex functions
• Some remarks on \(s\)-convex functions
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• On Simpson's inequality and applications
• Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions
• Fixed point theorems for asymptotically nonexpansive mappings
• Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
• Some integral inequalities of Simpson type for GA-ɛ-convex functions
• HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

This page was built for publication: Some new inequalities of Simpson type for strongly \(s\)-convex functions