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3 results on '"Chun-Yan Gui"'

1. On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators

Author

Yong-Mo Hu, Wen-Tao Cheng, Chun-Yan Gui, and Wen-Hui Zhang

Subjects
Mathematics, QA1-939
Abstract

In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. First, the moments and central moments are estimated. Then, local approximation properties of these operators are established via K-functionals and Steklov mean in means of modulus of continuity. Also, a Voronovskaja-type theorem is presented. Finally, the pointwise estimates, rate of convergence, and weighted approximation of these operators are studied.

Published
2021
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2. On Stancu-Type Generalization of Modified <math xmlns='http://www.w3.org/1998/Math/MathML' id='M1'> <mfenced open='(' close=')'> <mrow> <mi>p</mi> <mo>,</mo> <mi>q</mi> </mrow> </mfenced> </math>-Szász-Mirakjan-Kantorovich Operators

Author

Wen-Hui Zhang, Wen-Tao Cheng, Chun-Yan Gui, and Yong-Mo Hu

Subjects
010101 applied mathematics, Pointwise, Pure mathematics, Rate of convergence, 010102 general mathematics, MathematicsofComputing_GENERAL, 0101 mathematics, 01 natural sciences, Type generalization, Analysis, Modulus of continuity, Mathematics
Abstract

In the present article, we construct p , q -Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ , α , β . First, the moments and central moments are estimated. Then, local approximation properties of these operators are established via K -functionals and Steklov mean in means of modulus of continuity. Also, a Voronovskaja-type theorem is presented. Finally, the pointwise estimates, rate of convergence, and weighted approximation of these operators are studied.

Published
2021

3. Some approximation properties of a kind of (p, q)-Phillips operators

Author

Yong-Mo Hu, Wen-Tao Cheng, and Chun-Yan Gui

Subjects
Pure mathematics, General Mathematics, 010102 general mathematics, 0202 electrical engineering, electronic engineering, information engineering, 020206 networking & telecommunications, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Mathematics
Abstract

In this paper, a kind of new analogue of Phillips operators based on (p,q)-integers is introduced. The moments of the operators are established. Then some local approximation for the above operators is discussed. Also, the rate of convergence and weighted approximation by these operators by means of modulus of continuity are studied. Furthermore, the Voronovskaja type asymptotic formula is investigated.

Published
2019

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