Abstract
AbstractIn this study, we investigate some inequalities estimating the error of approximation for new defined tensor product kind quantum beta-type operators on rectangular regions, and we give an inequality in weighted mean. Moreover, we introduce generalized Boolean sum (GBS) operators pertaining to tensor product kind bivariate quantum beta-type operators, and we also give inequalities estimating the error of approximation for GBS variant concerning the mixed modulus of continuity for Bögel continuous and Bögel differentiable functions, respectively. Finally, we present some applications illustrating numerical results of approximation errors with the help of Maple software.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference17 articles.
1. Stancu, D.D.: On the beta approximating operators of second kind. Rev. Anal. Numér. Théor. Approx. 24, 231–239 (1995)
2. Abel, U., Gupta, V.: Rate of convergence of Stancu beta operators for functions of bounded variation. Rev. Anal. Numér. Théor. Approx. 33(1), 3–9 (2004)
3. Gupta, V., Abel, U., Ivan, M.: Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation. Int. J. Math. Math. Sci. 23, 3827–3833 (2005)
4. Aral, A., Gupta, V.: On the q analogue of Stancu-beta operators. Appl. Math. Lett. 25(1), 67–71 (2002)
5. Aral, A., Gupta, V., Ravi, P.: Applications of q-Calculus in Operator Theory. Springer, New York (2013)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献