Study of quantum Ostrowski's-type inequalities for differentiable convex functions-Reference-Cited by-同舟云学术

Study of quantum Ostrowski's-type inequalities for differentiable convex functions

Published:2023-02-05 Issue:1 Volume:75 Page:7-27
ISSN:1027-3190
Container-title:Ukrains’kyi Matematychnyi Zhurnal
language:
Short-container-title:Ukr. Mat. Zhurn.

Author:

Ali M. A.,Fečkan M.,Mateen A.

Abstract

UDC 517.9 We prove some new q-Ostrowski's-type inequalities for differentiable and bounded functions. Moreover, we present the relationship between the newly established and already known inequalities, which is very interesting for new readers. Some applications to special means of real numbers are given to make the results more valuable.

Publisher

SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

Subject

General Earth and Planetary Sciences,General Engineering,General Environmental Science

Reference31 articles.

1. M. A. Ali, H. Budak, M. Abbas, Y.-M. Chu, Quantum Hermite–Hadamard-type inequalities for functions with convex absolute values of second $q^{{y}_{2}}$-derivatives, Adv. Different. Equat., 2021, 1–12 (2021).

2. M. A. Ali, H. Budak, Z. Zhang, H. Yildrim, Some new Simpson's type inequalities for co-ordinated convex functions in quantum calculus, Math. Methods Appl. Sci., 44, 4515–4540 (2021).

3. M. A. Ali, M. Abbas, H. Budak, P. Agarwal, G. Murtaza, Y.-M. Chu, New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions, Adv. Different. Equat., 2021, 1–21 (2021).

4. M. A. Ali, Y.-M. Chu, H. Budak, A. Akkurt, H. Yildrim, Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables, Adv. Different. Equat., 2021, 1–26 (2021).

5. M. A. Ali, N. Alp, H. Budak, Y.-M. Chu, Z. Zhang, On some new quantum midpoint type inequalities for twice quantum differentiable convex functions, Open Math., 19, 427–439 (2021).