EN
ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT
Abstract
Some new type of integral inequalities for functions from the Lipschitz class are obtained. These results involve some different types of integral
averages for Lipschitzian functions. Special cases which are naturally included in the main results of the paper are also discussed.
Keywords
References
- Hadamard J. Etude sur les proprietes des fonctions entieres et en particulier dune fonction consideree par Riemann, J. Math. Pures Appl., 171-215, 58 (1893).
- İşcan, İ. Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics, Volume 43 (6), 935-942, (2014).
- Kilbas, A.A. Srivastava, H.M. and Trujillo, J., Theory and applications of fractional differential equations, Elsevier, Amsterdam (2006).
- Roberts, A.W. and Varberg, D.E. Convex Functions. Academic Press, 300pp, New York (1973).
- Dragomir, S.S. Cho, Y.J. and Kim, S.S., Inequalities of Hadamard's type for Lipschitzian mappings and their applications, Journal of Mathematical Analysis and Applications, vol. 245, no. 2, pp. 489-501, (2000).
- Hwang, S.R. Hsu, K.C. and Tseng, K.L., Hadamard-type inequalities for Lipschitzian functions in one and two variables with applications, Journal of Mathematical Analysis and Applications, vol. 405, no. 2, 546-554, (2013).
- İşcan, İ. New general integral inequalities for Lipschitzianfunctions via Hadamard fractional integrals, International Journal of Analysis, volume 2014, Article ID 353924, 8 pages, (2014).
- İşcan, İ., Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals, Mathematical Sciences and Applications E-Notes, 4 (1), 77-87, (2016).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
January 31, 2020
Submission Date
January 24, 2020
Acceptance Date
February 27, 2020
Published in Issue
Year 2020 Volume: 3 Number: 1
APA
Kılınç, S., Akkurt, A., & Yildirim, H. (2020). ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT. Journal of Universal Mathematics, 3(1), 1-10. https://doi.org/10.33773/jum.679836
AMA
1.Kılınç S, Akkurt A, Yildirim H. ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT. JUM. 2020;3(1):1-10. doi:10.33773/jum.679836
Chicago
Kılınç, Seda, Abdullah Akkurt, and Hüseyin Yildirim. 2020. “ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT”. Journal of Universal Mathematics 3 (1): 1-10. https://doi.org/10.33773/jum.679836.
EndNote
Kılınç S, Akkurt A, Yildirim H (January 1, 2020) ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT. Journal of Universal Mathematics 3 1 1–10.
IEEE
[1]S. Kılınç, A. Akkurt, and H. Yildirim, “ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT”, JUM, vol. 3, no. 1, pp. 1–10, Jan. 2020, doi: 10.33773/jum.679836.
ISNAD
Kılınç, Seda - Akkurt, Abdullah - Yildirim, Hüseyin. “ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT”. Journal of Universal Mathematics 3/1 (January 1, 2020): 1-10. https://doi.org/10.33773/jum.679836.
JAMA
1.Kılınç S, Akkurt A, Yildirim H. ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT. JUM. 2020;3:1–10.
MLA
Kılınç, Seda, et al. “ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT”. Journal of Universal Mathematics, vol. 3, no. 1, Jan. 2020, pp. 1-10, doi:10.33773/jum.679836.
Vancouver
1.Seda Kılınç, Abdullah Akkurt, Hüseyin Yildirim. ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT. JUM. 2020 Jan. 1;3(1):1-10. doi:10.33773/jum.679836