SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS

İmdat İşcan; Huriye Kadakal; Mahir Kadakal

SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS

Abstract

In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions. Using this inequalities, we obtain some new inequalities connected with means.

Keywords

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

İmdat İşcan This is me
0000-0001-6749-0591
Türkiye

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

Mahir Kadakal This is me
0000-0002-0240-918X
Türkiye

Publication Date

September 1, 2017

Submission Date

January 19, 2017

Acceptance Date

April 6, 2017

Published in Issue

Year 2017 Volume: 35 Number: 3

IZ

https://izlik.org/JA29XZ36PS

Cite

RIS / Bibtex

APA

İşcan, İ., Kadakal, H., & Kadakal, M. (2017). SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS. Sigma Journal of Engineering and Natural Sciences, 35(3), 363-368. https://izlik.org/JA29XZ36PS

AMA

1.İşcan İ, Kadakal H, Kadakal M. SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS. SIGMA. 2017;35(3):363-368. https://izlik.org/JA29XZ36PS

Chicago

İşcan, İmdat, Huriye Kadakal, and Mahir Kadakal. 2017. “SOME NEW INTEGRAL INEQUALITIES FOR N- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences 35 (3): 363-68. https://izlik.org/JA29XZ36PS.

EndNote

İşcan İ, Kadakal H, Kadakal M (September 1, 2017) SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS. Sigma Journal of Engineering and Natural Sciences 35 3 363–368.

IEEE

[1]İ. İşcan, H. Kadakal, and M. Kadakal, “SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS”, SIGMA, vol. 35, no. 3, pp. 363–368, Sept. 2017, [Online]. Available: https://izlik.org/JA29XZ36PS

ISNAD

İşcan, İmdat - Kadakal, Huriye - Kadakal, Mahir. “SOME NEW INTEGRAL INEQUALITIES FOR N- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences 35/3 (September 1, 2017): 363-368. https://izlik.org/JA29XZ36PS.

JAMA

1.İşcan İ, Kadakal H, Kadakal M. SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS. SIGMA. 2017;35:363–368.

MLA

İşcan, İmdat, et al. “SOME NEW INTEGRAL INEQUALITIES FOR N- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences, vol. 35, no. 3, Sept. 2017, pp. 363-8, https://izlik.org/JA29XZ36PS.

Vancouver

1.İmdat İşcan, Huriye Kadakal, Mahir Kadakal. SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS. SIGMA [Internet]. 2017 Sep. 1;35(3):363-8. Available from: https://izlik.org/JA29XZ36PS