Some Direct Estimates for Linear Combination of Linear Positive Convolution Operators
Applied and Computational Mathematics
Volume 5, Issue 5, October 2016, Pages: 207-212
Received: Jul. 30, 2016; Accepted: Aug. 12, 2016; Published: Oct. 18, 2016
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Authors
B. Kunwar, Applied Science Department, Institute of Engineering and Technology, Sitapur Road, Uttar Pradesh Technical University, Lucknow, India
V. K. Singh, Applied Science Department, Institute of Engineering and Technology, Sitapur Road, Uttar Pradesh Technical University, Lucknow, India
Anshul Srivastava, Applied Science Department, Northern India Engineering College, Guru Govind Singh Indraprastha University, New Delhi, India
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Abstract
In this paper we have estimated some direct results for the even positive convolution integrals on C_2π, Banach space of 2 π - periodic functions. Here, positive kernels are of finite oscillations of degree 2k. Technique of linear combination is used for improving order of approximation. Property of Central factorial numbers, inverse formulas, mixed algebraic –trigonometric formula is used throughout the paper.
Keywords
Convolution Operator, Linear Combination, Positive Kernels
To cite this article
B. Kunwar, V. K. Singh, Anshul Srivastava, Some Direct Estimates for Linear Combination of Linear Positive Convolution Operators, Applied and Computational Mathematics. Vol. 5, No. 5, 2016, pp. 207-212. doi: 10.11648/j.acm.20160505.14
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Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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