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n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS

Year 2019, Volume: 37 Issue: 2, 529 - 540, 01.06.2019

Abstract

In this manuscript, a new identity for functions defined on an open invex subset of set of real numbers is established. We present new type integral inequalities for functions whose powers of nth derivatives in absolute value are preinvex and prequasiinvex functions. This paper is a generalization of studies being done for functions whose first, second, third and fourth derivatives are preinvex and prequasiinvex. Moreover, the results we obtained in this article coincide with the previous ones in special cases.

References

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There are 18 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Huriye Kadakal This is me 0000-0002-0304-7192

Publication Date June 1, 2019
Submission Date April 9, 2019
Published in Issue Year 2019 Volume: 37 Issue: 2

Cite

Vancouver Kadakal H. n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS. SIGMA. 2019;37(2):529-40.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/