Approximation by Durrmeyer–Bezier operators |
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| Authors: | Vijay Gupta RN Mohapatra |
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| Institution: | aSchool of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110075, India;bDepartment of Mathematics, University of Central Florida, Orlando, FL 32816, USA |
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| Abstract: | In the present paper, we consider the Bezier variant Mn,α(f,x) of the generalized Durrmeyer type operators, and obtain an estimate on the rate of convergence of Mn,α(f,x) for the decomposition technique of functions of bounded variation. In the end we propose an open problem for the readers and give an asymptotic formula for these generalized Durrmeyer type operators. |
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| Keywords: | Summation-integral type operators Modulus of smoothness Rate of approximation Bounded variation Total variation |
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