ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS

Mehmet Zeki Sarıkaya; Samet Erden; Hüseyin Budak

ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS

Abstract

In this paper, an important integral equality is derived. Then, we establish several new inequalities for some twice differentiable mappings that are connected with the celebrated Hermite-Hadamard type and Ostrowski type integral inequalities. Some of the new inequalities are obtained by using Grüss inequality and Chebyshev inequality. The results presented here would provide extensions of those given in earlier works

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Mehmet Zeki Sarıkaya This is me
0000-0002-6165-9242
Türkiye

Samet Erden This is me
0000-0001-8430-7533
Türkiye

Hüseyin Budak This is me
0000-0001-8843-955X
Türkiye

Publication Date

March 1, 2019

Submission Date

November 14, 2018

Acceptance Date

December 29, 2018

Published in Issue

Year 2019 Volume: 37 Number: 1

IZ

https://izlik.org/JA28XF66CE

Cite

RIS / Bibtex

APA

Sarıkaya, M. Z., Erden, S., & Budak, H. (2019). ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS. Sigma Journal of Engineering and Natural Sciences, 37(1), 187-205. https://izlik.org/JA28XF66CE

AMA

1.Sarıkaya MZ, Erden S, Budak H. ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS. SIGMA. 2019;37(1):187-205. https://izlik.org/JA28XF66CE

Chicago

Sarıkaya, Mehmet Zeki, Samet Erden, and Hüseyin Budak. 2019. “ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS”. Sigma Journal of Engineering and Natural Sciences 37 (1): 187-205. https://izlik.org/JA28XF66CE.

EndNote

Sarıkaya MZ, Erden S, Budak H (March 1, 2019) ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS. Sigma Journal of Engineering and Natural Sciences 37 1 187–205.

IEEE

[1]M. Z. Sarıkaya, S. Erden, and H. Budak, “ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS”, SIGMA, vol. 37, no. 1, pp. 187–205, Mar. 2019, [Online]. Available: https://izlik.org/JA28XF66CE

ISNAD

Sarıkaya, Mehmet Zeki - Erden, Samet - Budak, Hüseyin. “ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS”. Sigma Journal of Engineering and Natural Sciences 37/1 (March 1, 2019): 187-205. https://izlik.org/JA28XF66CE.

JAMA

1.Sarıkaya MZ, Erden S, Budak H. ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS. SIGMA. 2019;37:187–205.

MLA

Sarıkaya, Mehmet Zeki, et al. “ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 1, Mar. 2019, pp. 187-05, https://izlik.org/JA28XF66CE.

Vancouver

1.Mehmet Zeki Sarıkaya, Samet Erden, Hüseyin Budak. ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS. SIGMA [Internet]. 2019 Mar. 1;37(1):187-205. Available from: https://izlik.org/JA28XF66CE