Research Article

n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS

Volume: 37 Number: 2 June 1, 2019
  • Huriye Kadakal

n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS

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.

Keywords

References

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  6. İşcan İ., (2014) Ostrowski type inequalities for functions whose derivatives are preinvex, Bulletin of the Iranian Mathematical Society, 40 (2), 373-386.
  7. Kadakal H., and İşcan İ., (2019) New Integral Inequalities for Preinvex Functions, Mathematical Sciences and Applications, E-Notes, 7 (1) 54-61 (2019).
  8. İşcan İ., Kadakal M. and Kadakal H., (2019) On Two Times Differentiable Preinvex and Prequasiinvex Functions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., Volume 68, Number 1, Pages 950–963.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

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

Publication Date

June 1, 2019

Submission Date

April 9, 2019

Acceptance Date

May 14, 2019

Published in Issue

Year 2019 Volume: 37 Number: 2

APA
Kadakal, H. (2019). n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS. Sigma Journal of Engineering and Natural Sciences, 37(2), 529-540. https://izlik.org/JA82XE67ZS
AMA
1.Kadakal H. n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS. SIGMA. 2019;37(2):529-540. https://izlik.org/JA82XE67ZS
Chicago
Kadakal, Huriye. 2019. “N-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences 37 (2): 529-40. https://izlik.org/JA82XE67ZS.
EndNote
Kadakal H (June 1, 2019) n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS. Sigma Journal of Engineering and Natural Sciences 37 2 529–540.
IEEE
[1]H. Kadakal, “n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS”, SIGMA, vol. 37, no. 2, pp. 529–540, June 2019, [Online]. Available: https://izlik.org/JA82XE67ZS
ISNAD
Kadakal, Huriye. “N-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences 37/2 (June 1, 2019): 529-540. https://izlik.org/JA82XE67ZS.
JAMA
1.Kadakal H. n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS. SIGMA. 2019;37:529–540.
MLA
Kadakal, Huriye. “N-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 2, June 2019, pp. 529-40, https://izlik.org/JA82XE67ZS.
Vancouver
1.Huriye Kadakal. n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS. SIGMA [Internet]. 2019 Jun. 1;37(2):529-40. Available from: https://izlik.org/JA82XE67ZS

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