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Statistical convergence for General Beta Operators

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In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function x2. We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.

Abstract

In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function x2. We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.

참고문헌 (16)

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  12. Ozarslan M. A., "A-statistical approximation of generalized Szasz-Mirakjan-Beta operators", Appl. Math. Lett, 24, pp.1785~1790 (2011)
  13. Ozarslan M. A., "Local approximation behavior of modified SMK operators", Miskolc Math. Notes, 11(1), pp.87~99 (2010)
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