EN
ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT
Öz
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.
Anahtar Kelimeler
Kaynakça
- 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).
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Ocak 2020
Gönderilme Tarihi
24 Ocak 2020
Kabul Tarihi
27 Şubat 2020
Yayımlandığı Sayı
Yıl 2020 Cilt: 3 Sayı: 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, ve 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 (01 Ocak 2020) ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT. Journal of Universal Mathematics 3 1 1–10.
IEEE
[1]S. Kılınç, A. Akkurt, ve H. Yildirim, “ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT”, JUM, c. 3, sy 1, ss. 1–10, Oca. 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 (01 Ocak 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, vd. “ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT”. Journal of Universal Mathematics, c. 3, sy 1, Ocak 2020, ss. 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. 01 Ocak 2020;3(1):1-10. doi:10.33773/jum.679836