References14

Newest

We firstly derive inequalities for high order differentiable functions with the property (S) and mappings whose higher derivatives are convex by using the same equality. Also, it is obtained Hermite Hadamard type and Bullen type inequalities for higher order differentiable functions. Then, we establish inequalities for high degree Lipschitzian derivatives via an equality which was presented previous by Erden in [12]. We also examine connection in between inequalities obtained in earlier works an...

In this study, we first obtain an identity for twice differentiable functions. Then we establish some perturbed Ostrowski type integral inequalities for functions whose second derivatives are bounded. Moreover, some perturbed versions of Ostrowski type inequalities for mapping whose second derivatives are either of bounded variation or Lipschitzian.

In this paper, some perturbed companion of Ostrowski type integral inequalities for functions whose second derivatives are either bounded or of bounded variation are established.

In this paper, some two parameters perturbed Ostrowski type inequalities for absolutely continuous functions are established.

In this article, we give a new Montgomery type identity and using this identity establish a new Ostrowski type inequality and its perturbed inequality forms.

This paper has shown some new Ostrowski type inequalities involving higher-order derivatives. The results generalized the Ostrowski type inequalities. Applications of the inequalities are also given.

Some new Ostrowski type inequalities are established by estimating the error bounds in terms of a variety of norms. Special cases are discussed.

An integral inequality is developed from which when applied to composite quadrature rules in numerical integration it is proved that there is a three fold improvement in the remainder of the classical averages of the Midpoint and Trapezoidal quadratures. Inequalities for special means are also given.

Cited By0

Newest