Hermite-Hadamard Type Inequalities via ({\alpha},m)- Convexity
Hermite-Hadamard Type Inequalities via ({\alpha},m)- Convexity
In this paper, we establish some integral inequalities for functions whose second derivatives in absolute value are ({\alpha},m)- convex.
Comment: This paper is published in Computers & Mathematics with Applications (Volume 61, Issue 9, May 2011, Pages 2614-2620)
- Atatürk University Turkey
- Uludağ University Turkey
- Yüzüncü Yıl University Turkey
Hermite-Hadamard inequality, gamma function, Mathematics - Analysis of PDEs, convexity, Mathematics - Classical Analysis and ODEs, Hölder's integral inequality, Inequalities for sums, series and integrals, Euler-beta function, power-mean integral inequality, Gamma, beta and polygamma functions, \((\alpha ,m)\)-convex functions
Hermite-Hadamard inequality, gamma function, Mathematics - Analysis of PDEs, convexity, Mathematics - Classical Analysis and ODEs, Hölder's integral inequality, Inequalities for sums, series and integrals, Euler-beta function, power-mean integral inequality, Gamma, beta and polygamma functions, \((\alpha ,m)\)-convex functions
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