ISSN: 1304-7191 | E-ISSN: 1304-7205
On the Generalized Integral Inequalities for Twice Differentiable Mappings
1Department of Mathematics, Düzce University, DÜZCE
2Department of Mathematics, Bartın University, BARTIN
Sigma J Eng Nat Sci 2019; 37(1): 187-205
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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.