ON CONVERGENCE OF GENERAL GAMMA TYPE OPERATORS
The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators Mn,k for functions of bounded variation, by using some techniques of probability theory.
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| Published in | Analysis in theory & applications Vol. 27; no. 3; pp. 288 - 300 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Nanjing
Editorial Board of Analysis in Theory and Applications
01.09.2011
Abant Izzet Baysal University, Turkey |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1672-4070 1573-8175 |
| DOI | 10.1007/s10496-011-0288-z |
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| Abstract | The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators Mn,k for functions of bounded variation, by using some techniques of probability theory. |
|---|---|
| AbstractList | O177.2; The present paper deals with the new type of Gamma operators,here we estimate the rate of pointwise convergence of these new Gamma type operators Mn,k for functions of bounded variation,by using some techniques of probability theory. The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators Mn,k for functions of bounded variation, by using some techniques of probability theory. The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators M n,k for functions of bounded variation, by using some techniques of probability theory. |
| Author | Harun Karsli |
| AuthorAffiliation | Abant Izzet Baysal University Faculty of Science and Arts Department of Mathematics14280, Golkoy-Bolu, Turkey |
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| Cites_doi | 10.1016/0021-9045(81)90031-9 10.1023/A:1024571126455 10.1016/j.mcm.2006.08.001 10.1007/BF01112415 10.1016/0021-9045(83)90098-9 10.1006/jmaa.1999.6289 10.1016/j.jmaa.2005.02.051 10.1016/j.jmaa.2005.03.041 |
| ClassificationCodes | O177.2 |
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| Copyright | Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg 2011 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Issue | 3 |
| Keywords | bounded variation rate of convergence 41A35 41A25 total variation gamma operator |
| Language | English |
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| Notes | 32-1631/O1 The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators Mn,k for functions of bounded variation, by using some techniques of probability theory. rate of convergence, gamma operator, bounded variation, total variation |
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| References | Karsli (CR6) 2007; 45 Bojanić, Vuilleumier (CR9) 1981; 31 King (CR8) 2003; 99 Gupta, Pant (CR13) 1999; 233 Chêng (CR10) 1983; 39 Karsli, Özarslan (CR15) 2010; 39 Mazhar (CR4) 1991; 5 Izgi, Büyükyazici (CR5) 2003; 11 Pych-Taberska (CR11) 1997; 25 Lupas, Müller (CR1) 1967; 98 Gupta (CR12) 2005; 312 Agratini (CR7) 2006; 51 Mao (CR14) 2007; 23 Chen, Guo (CR2) 1985; 1 Zeng (CR3) 2005; 311 X. M. Zeng (288_CR3) 2005; 311 H. Karsli (288_CR6) 2007; 45 R. Bojanić (288_CR9) 1981; 31 V. Gupta (288_CR13) 1999; 233 F. H. Chêng (288_CR10) 1983; 39 W. Chen (288_CR2) 1985; 1 V. Gupta (288_CR12) 2005; 312 L. C. Mao (288_CR14) 2007; 23 A. Izgi (288_CR5) 2003; 11 A. Lupas (288_CR1) 1967; 98 S. M. Mazhar (288_CR4) 1991; 5 O. Agratini (288_CR7) 2006; 51 J. P. King (288_CR8) 2003; 99 P. Pych-Taberska (288_CR11) 1997; 25 H. Karsli (288_CR15) 2010; 39 |
| References_xml | – volume: 31 start-page: 67 issue: 1 year: 1981 end-page: 79 ident: CR9 article-title: On the Rate of Convergence of Fourier-Legendre Series of Functions of Bounded Variation publication-title: J. Approx. Theory doi: 10.1016/0021-9045(81)90031-9 – volume: 99 start-page: 203 issue: 3 year: 2003 end-page: 208 ident: CR8 article-title: Positive Linear Operators which Preserve publication-title: Acta Math. Hungar. doi: 10.1023/A:1024571126455 – volume: 45 start-page: 617 issue: 5–6 year: 2007 end-page: 624 ident: CR6 article-title: Rate of Convergence of a New Gamma Type Operators for Functions with Derivatives of Bounded Variation publication-title: Math. Comput. Modelling doi: 10.1016/j.mcm.2006.08.001 – volume: 98 start-page: 208 year: 1967 end-page: 226 ident: CR1 article-title: Approximationseigenschaften der Gammaoperatoren publication-title: Math. 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Appl. doi: 10.1006/jmaa.1999.6289 – volume: 25 start-page: 67 year: 1997 end-page: 76 ident: CR11 article-title: Pointwise Approximation of Absolutely Continuous Functions by Certain Linear Operators publication-title: Funct. Approx. Comment. Math. – volume: 51 start-page: 13 issue: 4 year: 2006 end-page: 22 ident: CR7 article-title: On a Class of Linear Positive Bivariate Operators of King type publication-title: Stud. Univ. Babeş-Bolyai Math. – volume: 311 start-page: 389 issue: 2 year: 2005 end-page: 401 ident: CR3 article-title: Approximation Properties of Gamma Operators publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2005.02.051 – volume: 23 start-page: 49 issue: 12 year: 2007 end-page: 52 ident: CR14 article-title: Rate of Convergence of Gamma type Operator publication-title: Journal of Shangqiu Teachers College – volume: 39 start-page: 241 issue: 2 year: 2010 end-page: 253 ident: CR15 article-title: Ali, Direct Local and Global Approximation Results for Operators of Gamma type publication-title: Hacet. J. Math. Stat. – volume: 5 start-page: 99 issue: 2 year: 1991 end-page: 104 ident: CR4 article-title: Approximation by Positive Operators on Infinite Intervals publication-title: Mathematica Balkanica – volume: 312 start-page: 280 year: 2005 end-page: 288 ident: CR12 article-title: An Estimate on the Convergence of Baskakov-Bézier Operators publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2005.03.041 – volume: 45 start-page: 617 issue: 5–6 year: 2007 ident: 288_CR6 publication-title: Math. Comput. Modelling doi: 10.1016/j.mcm.2006.08.001 – volume: 233 start-page: 476 issue: 2 year: 1999 ident: 288_CR13 publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1999.6289 – volume: 1 start-page: 85 issue: 5 year: 1985 ident: 288_CR2 publication-title: Approx. Theory Appl. – volume: 98 start-page: 208 year: 1967 ident: 288_CR1 publication-title: Math. Zeitschr. doi: 10.1007/BF01112415 – volume: 311 start-page: 389 issue: 2 year: 2005 ident: 288_CR3 publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2005.02.051 – volume: 5 start-page: 99 issue: 2 year: 1991 ident: 288_CR4 publication-title: Mathematica Balkanica – volume: 39 start-page: 259 issue: 33 year: 1983 ident: 288_CR10 publication-title: J. Approx. Theory doi: 10.1016/0021-9045(83)90098-9 – volume: 25 start-page: 67 year: 1997 ident: 288_CR11 publication-title: Funct. Approx. Comment. Math. – volume: 11 start-page: 451 issue: 2 year: 2003 ident: 288_CR5 publication-title: Kastamonu Eğitim Dergisi Ekim – volume: 31 start-page: 67 issue: 1 year: 1981 ident: 288_CR9 publication-title: J. Approx. Theory doi: 10.1016/0021-9045(81)90031-9 – volume: 23 start-page: 49 issue: 12 year: 2007 ident: 288_CR14 publication-title: Journal of Shangqiu Teachers College – volume: 51 start-page: 13 issue: 4 year: 2006 ident: 288_CR7 publication-title: Stud. Univ. Babeş-Bolyai Math. – volume: 99 start-page: 203 issue: 3 year: 2003 ident: 288_CR8 publication-title: Acta Math. Hungar. doi: 10.1023/A:1024571126455 – volume: 39 start-page: 241 issue: 2 year: 2010 ident: 288_CR15 publication-title: Hacet. J. Math. Stat. – volume: 312 start-page: 280 year: 2005 ident: 288_CR12 publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2005.03.041 |
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| Snippet | The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators Mn,k for... The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators M n,k for... O177.2; The present paper deals with the new type of Gamma operators,here we estimate the rate of pointwise convergence of these new Gamma type operators Mn,k... |
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| SubjectTerms | Analysis Approximations and Expansions A型 Gamma Mathematics 估计 收敛速度 有界变差函数 概率论 算子 锰 |
| Title | ON CONVERGENCE OF GENERAL GAMMA TYPE OPERATORS |
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