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9786204750552: Various Problems in Approximation by Linear Positive Operators

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The approximation of functions by algebraic polynomials, trigonometric polynomials and splines, is not only an important topic of mathematical studies but also provides powerful mathematical tools to represent non-arithmetic quantities by arithmetic quantities to achieve the accuracy to a desired degree. The role of linear positive operators is very important in the approximation theory. The theorem given by Weierstrass is the basis of theory of approximation for the functions of real variable and has huge importance in the whole of mathematical analysis.The main purpose of this book is to study the some problems in approximation by linear positive operators. We estimate the rate of convergence for these operators for functions having derivatives of bounded variation. We also studied the new type of Stancu generalization of modified Beta operators and established some moments and recurrence relations as well as study some approximation properties and asymptotic formula for the above operators which gave some better error estimations for the operators by using King's approach. We also find an asymptotic formula and error estimate in terms of higher order modulus of continuity.

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Prerna Sharma|Diwaker Sharma|Bhim Singh
Publicado por LAP LAMBERT Academic Publishing, 2022
ISBN 10: 6204750550 ISBN 13: 9786204750552
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Sharma PrernaDr. Prerna Sharma is presently working as Associate Professor (Mathematics) at SVPUAT, Meerut, India.Dr. Diwakar Sharma obtained Ph.D. (Mathematics) degree in 2014 from Bansthali University, Rajasthan since then he invol. Nº de ref. del artículo: 606715983

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Prerna Sharma
ISBN 10: 6204750550 ISBN 13: 9786204750552
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The approximation of functions by algebraic polynomials, trigonometric polynomials and splines, is not only an important topic of mathematical studies but also provides powerful mathematical tools to represent non-arithmetic quantities by arithmetic quantities to achieve the accuracy to a desired degree. The role of linear positive operators is very important in the approximation theory. The theorem given by Weierstrass is the basis of theory of approximation for the functions of real variable and has huge importance in the whole of mathematical analysis.The main purpose of this book is to study the some problems in approximation by linear positive operators. We estimate the rate of convergence for these operators for functions having derivatives of bounded variation. We also studied the new type of Stancu generalization of modified Beta operators and established some moments and recurrence relations as well as study some approximation properties and asymptotic formula for the above operators which gave some better error estimations for the operators by using King's approach. We also find an asymptotic formula and error estimate in terms of higher order modulus of continuity. 132 pp. Englisch. Nº de ref. del artículo: 9786204750552

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Prerna Sharma
Publicado por LAP LAMBERT Academic Publishing, 2022
ISBN 10: 6204750550 ISBN 13: 9786204750552
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The approximation of functions by algebraic polynomials, trigonometric polynomials and splines, is not only an important topic of mathematical studies but also provides powerful mathematical tools to represent non-arithmetic quantities by arithmetic quantities to achieve the accuracy to a desired degree. The role of linear positive operators is very important in the approximation theory. The theorem given by Weierstrass is the basis of theory of approximation for the functions of real variable and has huge importance in the whole of mathematical analysis.The main purpose of this book is to study the some problems in approximation by linear positive operators. We estimate the rate of convergence for these operators for functions having derivatives of bounded variation. We also studied the new type of Stancu generalization of modified Beta operators and established some moments and recurrence relations as well as study some approximation properties and asymptotic formula for the above operators which gave some better error estimations for the operators by using King's approach. We also find an asymptotic formula and error estimate in terms of higher order modulus of continuity. Nº de ref. del artículo: 9786204750552

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Sharma, Prerna; Sharma, Diwaker; Singh, Bhim
Publicado por LAP LAMBERT Academic Publishing, 2022
ISBN 10: 6204750550 ISBN 13: 9786204750552
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Sharma, Prerna; Sharma, Diwaker; Singh, Bhim
Publicado por LAP LAMBERT Academic Publishing, 2022
ISBN 10: 6204750550 ISBN 13: 9786204750552
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Sharma, Prerna; Sharma, Diwaker; Singh, Bhim
Publicado por LAP LAMBERT Academic Publishing, 2022
ISBN 10: 6204750550 ISBN 13: 9786204750552
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Condición: New. PRINT ON DEMAND. Nº de ref. del artículo: 18397320791

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Prerna Sharma
ISBN 10: 6204750550 ISBN 13: 9786204750552
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Taschenbuch. Condición: Neu. Neuware -The approximation of functions by algebraic polynomials, trigonometric polynomials and splines, is not only an important topic of mathematical studies but also provides powerful mathematical tools to represent non-arithmetic quantities by arithmetic quantities to achieve the accuracy to a desired degree. The role of linear positive operators is very important in the approximation theory. The theorem given by Weierstrass is the basis of theory of approximation for the functions of real variable and has huge importance in the whole of mathematical analysis.The main purpose of this book is to study the some problems in approximation by linear positive operators. We estimate the rate of convergence for these operators for functions having derivatives of bounded variation. We also studied the new type of Stancu generalization of modified Beta operators and established some moments and recurrence relations as well as study some approximation properties and asymptotic formula for the above operators which gave some better error estimations for the operators by using King's approach. We also find an asymptotic formula and error estimate in terms of higher order modulus of continuity.Books on Demand GmbH, Überseering 33, 22297 Hamburg 132 pp. Englisch. Nº de ref. del artículo: 9786204750552

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