논문KCI 등재
A NEW CLASS OF DURRMEYER OPERATORS
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In the present paper, we introduce a new sequence of Durrmeyer type operators and present an asymptotic formula and a direct results in ordinary approximation in terms of modulus of continuity of the function.
Abstract
In the present paper, we introduce a new sequence of Durrmeyer type operators and present an asymptotic formula and a direct results in ordinary approximation in terms of modulus of continuity of the function.
참고문헌 (6)
- U. Abel, "On a generalization of an approximation operator defined by A. Lupas", General Math, 15(1), pp.21~34 (2007)
- O. Agratini, "On the rate of convergence of a positive approximation process", Nihonkai Math. J, 11(1), pp.47~56 (2000)
- R. A. DeVore, "Constructive Approximation" (1993), Springer
- G. C. Jain, "On the generalizations of Bernstein and Sz´asz Mirakjan operators", Nanta Math, 10, pp.185~193 (1977)
- A. Lupas, "The approximation by means of some linear positive operators, In Approximation Theory", pp.201~229 (1995), Akademie Verlag
- S. Tarabie, "On some A-statistical approximation processes", Int. J. Pure Appl. Math, 76(3), pp.327~332 (2012)
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