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Refinements of the q-Steffensen Inequality and its Generalizations (CROSBI ID 706367)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Smoljak Kalamir, Ksenija Refinements of the q-Steffensen Inequality and its Generalizations // 10th International Eurasian Conference on Mathematical Sciences and Applications Book of Abstracts / Tosun, Murat (ur.). Sakarya, 2021. str. 52-52

Podaci o odgovornosti

Smoljak Kalamir, Ksenija

engleski

Refinements of the q-Steffensen Inequality and its Generalizations

Steffensen’s inequality has been investigated in many research papers since its appearance in 1918. A comprehensive survey of generalizations and refinements of the classical Steffensen inequality given in J. Pečarić, K. Smoljak Kalamir, S. Varošanec, Steffensen’s and related inequalities, Monograhps in inequalities 7, Element, Zagreb, 2014. and q−Steffensen’s inequality given in H. Gauchman, Integral inequalities in q−calculus, Comput. Math. Appl., 47, 281–300, 2004 and P. Rajković, M. Stanković, S. Marinković, M. Kirane, On q−Steffensen inequality, Electron. J. Differential Equations, 2018, Article No. 112, 1–11, 2018. have motivated us to give our contribution in obtaining quantum calculus generalizations of Steffensen’s inequality. In this talk we prove some refinements of the q−Steffensen inequality given by Gauchman and Rajković et al. Further, we give refinements for different generalizations of q−Steffensen’s inequality obtained in K. Smoljak Kalamir, Weaker conditions for the q−Steffensen inequality and some related generalizations, Mathematics, 8(9), Article No. 1462 (11 pages), 2020.

Steffensen’s inequality ; quantum calculus ; refinements ; generalizations ; q−increasing function

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Podaci o prilogu

52-52.

2021.

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objavljeno

Podaci o matičnoj publikaciji

10th International Eurasian Conference on Mathematical Sciences and Applications Book of Abstracts

Tosun, Murat

Sakarya:

Podaci o skupu

10th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2021)

predavanje

25.08.2021-27.08.2021

Sakarya, Turska

Povezanost rada

Matematika