Publication:
On generalizations of integral inequalities

Thumbnail Image

Organizational Units

Authors

Bayraktar, Bahtiyar

Authors

Napoles, J.
Rabossi, F.

Advisor

Language

Publisher:

Petrozavodsk State Univ

Journal Title

Journal ISSN

Volume Title

Abstract

In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequali-ties.

Description

Source:

Keywords:

Keywords

Hermite-hadamard type, S-convex, Differentiable mappings, Simpsons type, Real numbers, Derivatives, Convex function, Hermite-hadamard inequality, Simp-son-type inequality, Lipschitz conditions, Lagrange theorem, Rie-mann-liouville fractional integral, Science & technology, Physical sciences, Mathematics, Mathematics

Citation

Endorsement

Review

Supplemented By

Referenced By

0

Views

0

Downloads

View PlumX Details