Integral inequalities of Simpsons type for (α,m )-convex functions

DOI10.22436/JNSA.009.12.36zbMath1386.26010OpenAlexW2789841899MaRDI QIDQ4597379

Yan Wang, Feng Qi, Ye Shuang

Publication date: 12 December 2017

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

Full work available at URL: http://www.isr-publications.com/jnsa/articles-3012-integral-inequalities-of-simpsons-type-for-alpham-convex-functions

zbMATH Keywords

\((\alpha,m)\)-convex functionSimpson-type integral inequalityapplication mean inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Convexity of real functions in one variable, generalizations (26A51) Fuzzy real analysis (26E50)

Related Items (6)

THE SIMPSON-TYPE INTEGRAL INEQUALITIES INVOLVING TWICE LOCAL FRACTIONAL DIFFERENTIABLE GENERALIZED (s,P)-CONVEXITY AND THEIR APPLICATIONS ⋮ CERTAIN INTEGRAL INEQUALITIES CONSIDERING GENERALIZED m-CONVEXITY ON FRACTAL SETS AND THEIR APPLICATIONS ⋮ Fractional Simpson like type inequalities for differentiable \(s\)-convex functions ⋮ Simpson-like type inequalities for relative semi-(α,m)-logarithmically convex functions ⋮ Certain new bounds considering the weighted Simpson-like type inequality and applications ⋮ Generalized fractional integral inequalities of Hermite-Hadamard type for \((\alpha,m)\)-convex functions

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