Approximation by Some Stancu Type Linear Positive Operators

P. Sharma
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Abstract

Present paper is the study about Stancu type generalization of modified Beta-Szasz operators and their q-analogues. We obtain some approximation properties for these operators and estimate the rate of convergence by using the first and second order modulus of continuity. Author also investigates the statistical approximation properties of the q-Beta-Stancu operators using Korokvin theorem.
若干斯坦库型线性正算子的近似
本文研究了改进的β - szasz算子及其q-类似算子的Stancu型泛化。我们得到了这些算子的一些近似性质,并利用一阶和二阶连续模估计了收敛速度。利用Korokvin定理研究了q- β - stancu算子的统计逼近性质。
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