New Inequalities for Preinvex Functions

Huriye Kadakal; İmdat İşcan

doi:10.36753/mathenot.559247

EN

New Inequalities for Preinvex Functions

Abstract

In this study, a new identity for functions defined on an open invex subset of set of real numbers is

formed. After that we established Hermite-Hadamard-like inequalities for this type of functions. Then, by

using the this identity and the Hölder and Power mean integral inequalities we present new type integral

inequalities for functions whose powers of fourth derivatives in absolute value are preinvex functions.

Keywords

Invex set,preinvex function,Hölder Integral inequality

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Huriye Kadakal

İmdat İşcan

Publication Date

April 30, 2019

Submission Date

October 30, 2018

Acceptance Date

-

Published in Issue

Year 2019 Volume: 7 Number: 1

DOI

https://doi.org/10.36753/mathenot.559247

IZ

https://izlik.org/JA48AL23RR

APA

Kadakal, H., & İşcan, İ. (2019). New Inequalities for Preinvex Functions. Mathematical Sciences and Applications E-Notes, 7(1), 54-61. https://doi.org/10.36753/mathenot.559247

AMA

1.Kadakal H, İşcan İ. New Inequalities for Preinvex Functions. Math. Sci. Appl. E-Notes. 2019;7(1):54-61. doi:10.36753/mathenot.559247

Chicago

Kadakal, Huriye, and İmdat İşcan. 2019. “New Inequalities for Preinvex Functions”. Mathematical Sciences and Applications E-Notes 7 (1): 54-61. https://doi.org/10.36753/mathenot.559247.

EndNote

Kadakal H, İşcan İ (April 1, 2019) New Inequalities for Preinvex Functions. Mathematical Sciences and Applications E-Notes 7 1 54–61.

IEEE

[1]H. Kadakal and İ. İşcan, “New Inequalities for Preinvex Functions”, Math. Sci. Appl. E-Notes, vol. 7, no. 1, pp. 54–61, Apr. 2019, doi: 10.36753/mathenot.559247.

ISNAD

Kadakal, Huriye - İşcan, İmdat. “New Inequalities for Preinvex Functions”. Mathematical Sciences and Applications E-Notes 7/1 (April 1, 2019): 54-61. https://doi.org/10.36753/mathenot.559247.

JAMA

1.Kadakal H, İşcan İ. New Inequalities for Preinvex Functions. Math. Sci. Appl. E-Notes. 2019;7:54–61.

MLA

Kadakal, Huriye, and İmdat İşcan. “New Inequalities for Preinvex Functions”. Mathematical Sciences and Applications E-Notes, vol. 7, no. 1, Apr. 2019, pp. 54-61, doi:10.36753/mathenot.559247.

Vancouver

1.Huriye Kadakal, İmdat İşcan. New Inequalities for Preinvex Functions. Math. Sci. Appl. E-Notes. 2019 Apr. 1;7(1):54-61. doi:10.36753/mathenot.559247