Approximation by Szász–Mirakyan–Baskakov–Stancu operators

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• 作者：Vishnu Narayan Mishra ; Preeti Sharma
• 关键词：Szász–Mirakyan–Baskakov–Stancu type operators ; Weighted approximation ; Rate of convergence ; Stancu operators ; Modulus of continuity ; Primary 41A25 ; 41A35 ; 41A36
• 刊名：Afrika Matematika
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：26
• 期：7-8
• 页码：1313-1327
• 全文大小：426 KB
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  4.Mishra, V.N., Khatri, K., Mishra, L.N., Deepmala: Inverse result in simultaneous approximation by Baskakov–Durrmeyer–Stancu operators. J. Inequal. Appl. 2013, 586 (2013)
  5.Mishra, V.N., Khatri, K., Mishra, L.N.: Statistical approximation by Kantorovich type discrete \(q\) -beta operators. Adv. Differ. Equ. 2013, 345 (2013)MathSciNet CrossRef
  6.Mishra, V.N., Khatri, K., Mishra, L.N., Deepmala: Trigonometric approximation of periodic signals belonging to generalized weighted Lipschitz \(W (Lr, \xi (t)), (r \ge 1)-\) class by N?rlund–Euler \((N, p_n) (E, q)\) operator of conjugate series of its Fourier series, accepted for publication in Journal of Classical Analysis, on 21 May 2014
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  16.Wafi, A., Khatoon, S.: Direct and inverse theorems for generalized Baskakov operators in polynomial weight spaces. Anal. Stint. Ale Univ. Al. I. Cuza, vol. L, s. i. a, mathematica, f.l., pp. 159-73 (2004)
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  21.Mishra, V.N., Khan, H.H., Khatri, K., Mishra, L.N.: Hypergeometric representation for Baskakov–Durrmeyer–Stancu type operators. Bull. Math. Anal. Appl. 5(3), 18-6 (2013)MathSciNet
  22.Mishra, V.N., Khatri, K., Mishra, L.N.: Some approximation properties of \(q\) -Baskakov–beta-Stancu type operators. J. Calc. Var. vol. 2013, Article ID 814824, pp. 1- (2013)
  23.Mishra, V.N., Khatri, K., Mishra, L.N.: On simultaneous approximation for Baskakov–Durrmeyer–Stancu type operators. J. Ultra Sci. Phy. Sci. 24(3–A), 567-77 (2012)
  24.Mishra, V.N., Mishra, L.N.: Trigonometric approximation in \(L_p (p \ge 1)\) -spaces. Int. J. Contemp. Math. Sci. 7(12), 909-18 (2012)MATH MathSciNet
  25.Mishra, L.N., Mishra, V.N., Khatri, K., Deepmala: On the trigonometric approximation of signals belonging to generalized weighted Lipschitz \(W(L_r, \xi (t)) (r \ge 1)\) -class by matrix \(C^1\cdot N_p\) operator of conjugate series of its Fourier series. Appl. Math. Comput. 237, 252-63 (2014). doi:10.-016/?j.?amc.-014.-3.-85
  
• 作者单位：Vishnu Narayan Mishra (1) (2)
  Preeti Sharma (1)
  
  1. Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, 395 007, Gujarat, India
  2. L. 1627 Awadh Puri Colony Beniganj, Phase-III, Opposite Industrial Training Institute (ITI), Ayodhya Main Road, Faizabad, 224 001, Uttar Pradesh, India
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics Education
  Applications of Mathematics
  History of Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：2190-7668

文摘

This paper deals with the Stancu type generalization of Szász–Mirakyan–Baskakov operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval \([0,\infty )\). Also, Voronovskaja type theorem is studied. Keywords Szász–Mirakyan–Baskakov–Stancu type operators Weighted approximation Rate of convergence Stancu operators Modulus of continuity