ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:37 Issue:1
ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS

ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS

Authors : Mehmet Zeki SARIKAYA, Samet ERDEN, Hüseyin BUDAK

Pages : 187-205

View : 33 | Download : 7

Publication Date : 2019-03-01

Article Type : Research Paper

Abstract :In this paper, an important integral equality is derived. Then, we establish several new inequalities for some twice differentiable mappings that are connected with the celebrated Hermite-Hadamard type and Ostrowski type integral inequalities. Some of the new inequalities are obtained by using Grüss inequality and Chebyshev inequality. The results presented here would provide extensions of those given in earlier works
Keywords : Hermite Hadamard inequality, Ostrowski inequality, Grüss inequality, Čebyšev inequality, Hölder inequality

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