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- 저자 : Prashantkumar patel (검색결과 2 건)
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Some approximation properties of modified Szasz-Mirakjan-Baskakov operators
Prashantkumar patel,Vishnu Narayan Mishra 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.3
The generalization of well known Száasz-Mirakjan operators was introduction by G C Jain, Approximation of functions by a new class of linear operators, Journal of the Australian Mathematical Society, 13(3):271-276, 1972. In P Patel and V N Mishra, Jain-Baskakov op- erators and its different generalization, Acta Mathematica Vietnamica, 40:715-733, 2015 introduced the integral modification of Jain operators and discussed its different generalization. In this manuscript, we extend the study of the operators introduced by Patel & Mishra and discussed some direct results in ordinary approximation for this operators. The generalization of well known Szász-Mirakjan operators was introduction by G C Jain, Approximation of functions by a new class of linear operators, Journal of the Australian Mathematical Society, 13(3):271-276, 1972. In P Patel and V N Mishra, Jain-Baskakov op- erators and its different generalization, Acta Mathematica Vietnamica, 40:715-733, 2015 introduced the integral modification of Jain operators and discussed its different generalization. In this manuscript, we extend the study of the operators introduced by Patel & Mishra and discussed some direct results in ordinary approximation for this operators.
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THE CERTAIN SUMMATION INTEGRAL TYPE OPERATORS AND ITS INVERSE THEOREM
PRASHANTKUMAR PATEL,VISHNU NARAYAN MISHRA 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
In [1], Patel and Mishra introduced and discussed Stancu type generalization of integral modification of the well-known Baskakov operators with the weight function of Beta basis function. Simultaneous approximation results of these operators were established by Patel and Mishra [2]. The present paper deals with detail proof of inverse theorem of these operators.
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