Symmetry 2018, 10(12), 731; https://doi.org/10.3390/sym10120731 (registering DOI)
On Some Statistical Approximation by (p,q)-Bleimann, Butzer and Hahn Operators
Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar
Author to whom correspondence should be addressed.
Received: 29 October 2018 / Revised: 29 November 2018 / Accepted: 4 December 2018 / Published: 7 December 2018
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Abstract In this article, we propose a different generalization of -BBH operators and carry statistical approximation properties of the introduced operators towards a function which has to be approximated where -integers contains symmetric property. We establish a Korovkin approximation theorem in the statistical sense and obtain the statistical rates of convergence. Furthermore, we also introduce a bivariate extension of proposed operators and carry many statistical approximation results. The extra parameter p plays an important role to symmetrize the q-BBH operators.
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Ansari, K.J.; Ahmad, I.; Mursaleen, M.; Hussain, I. On Some Statistical Approximation by (p,q)-Bleimann, Butzer and Hahn Operators. Symmetry 2018, 10, 731.
Ansari KJ, Ahmad I, Mursaleen M, Hussain I. On Some Statistical Approximation by (p,q)-Bleimann, Butzer and Hahn Operators. Symmetry. 2018; 10(12):731.
Ansari, Khursheed J.; Ahmad, Ishfaq; Mursaleen, M.; Hussain, Iqtadar. 2018. "On Some Statistical Approximation by (p,q)-Bleimann, Butzer and Hahn Operators." Symmetry 10, no. 12: 731.
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