Research Article

ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT

Volume: 3 Number: 1 January 31, 2020
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

  1. 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).
  2. İşcan, İ. Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics, Volume 43 (6), 935-942, (2014).
  3. Kilbas, A.A. Srivastava, H.M. and Trujillo, J., Theory and applications of fractional differential equations, Elsevier, Amsterdam (2006).
  4. Roberts, A.W. and Varberg, D.E. Convex Functions. Academic Press, 300pp, New York (1973).
  5. 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).
  6. 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).
  7. İşcan, İ. New general integral inequalities for Lipschitzianfunctions via Hadamard fractional integrals, International Journal of Analysis, volume 2014, Article ID 353924, 8 pages, (2014).
  8. 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