ON CERTAIN PROPERTIES OF THE COMBINATIONS OF SZASZ-DURRMEYER OPERATORS
In the present paper we study properties of Szaisz-Durrmeyer operators. These operators are introduced in [5] and generalize the integral operators proposed by S.M.Mazhar and V.Totik in [ 12]. We also generalize some results obtained by M. Heilmann[6] and D.-X. Zhou[16].
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| Published in | Analysis in theory & applications Vol. 27; no. 2; pp. 167 - 180 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Editorial Board of Analysis in Theory and Applications
01.06.2011
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1672-4070 1573-8175 |
| DOI | 10.1007/s10496-011-0167-7 |
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| Abstract | In the present paper we study properties of Szaisz-Durrmeyer operators. These operators are introduced in [5] and generalize the integral operators proposed by S.M.Mazhar and V.Totik in [ 12]. We also generalize some results obtained by M. Heilmann[6] and D.-X. Zhou[16]. |
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| AbstractList | In the present paper we study properties of Szaisz-Durrmeyer operators. These operators are introduced in [5] and generalize the integral operators proposed by S.M.Mazhar and V.Totik in [ 12]. We also generalize some results obtained by M. Heilmann[6] and D.-X. Zhou[16]. In the present paper we study properties of Szász-Durrmeyer operators. These operators are introduced in [5] and generalize the integral operators proposed by S.M.Mazhar and V.Totik in [12]. We also generalize some results obtained by M. Heilmann[6] and D.-X. Zhou[16]. |
| Author | Tomasz Swiderski |
| AuthorAffiliation | Pedagogical University, Poland |
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| Cites_doi | 10.4153/CJM-1953-063-7 10.1512/iumj.1972.21.21054 10.1016/0021-9045(79)90065-0 10.1016/0898-1221(95)00088-7 10.1007/s10474-008-7151-5 10.1006/jath.1998.3200 10.4153/CJM-1976-123-8 10.1006/jath.1993.1023 10.1007/BF02836120 10.33993/jnaat382-914 |
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| Keywords | Baskakov-Durremeyer operator modified Szász-Mirakyan operator 65D99 |
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| Notes | 32-1631/O1 modified Szasz-Mirakyan operator, Baskakov-Durremeyer operator In the present paper we study properties of Szaisz-Durrmeyer operators. These operators are introduced in [5] and generalize the integral operators proposed by S.M.Mazhar and V.Totik in [ 12]. We also generalize some results obtained by M. Heilmann[6] and D.-X. Zhou[16]. |
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| PublicationTitle | Analysis in theory & applications |
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| References | Gonska, Zhou (CR7) 1995; 30 CR4 Guo, Li, Sun, Yang, Yue (CR8) 1998; 94 Świderski (CR14) 2009; 38 Zhou (CR16) 1993; 72 Ditzan (CR3) 1979; 26 Lu, Xie (CR9) 2008; 120 CR10 Heilmann (CR6) 1989; 5 Świderski (CR13) 2003; XXXVI Ciupta, Gavrea (CR5) 1994; 1 Mazhar, Totik (CR12) 1985; 49 Wachnicki (CR15) 2000; 17 Berens, Lorentz (CR1) 1972; 21 Butzer (CR2) 1953; 5 May (CR11) 1976; 28 S.M. Mazhar (167_CR12) 1985; 49 167_CR10 Z. Ditzan (167_CR3) 1979; 26 C. P. May (167_CR11) 1976; 28 P. L. Butzer (167_CR2) 1953; 5 M. Heilmann (167_CR6) 1989; 5 D. X. Zhou (167_CR16) 1993; 72 S. Guo (167_CR8) 1998; 94 167_CR4 T. Świderski (167_CR14) 2009; 38 C. B. Lu (167_CR9) 2008; 120 A. Ciupta (167_CR5) 1994; 1 H. H. Gonska (167_CR7) 1995; 30 T. Świderski (167_CR13) 2003; XXXVI H. Berens (167_CR1) 1972; 21 E. Wachnicki (167_CR15) 2000; 17 |
| References_xml | – volume: 5 start-page: 1 year: 1989 ident: CR6 article-title: Operators of Baskakov-Durrmeyer type publication-title: Approx. Theory and its Appl. – volume: 5 start-page: 559 year: 1953 end-page: 567 ident: CR2 article-title: Linear Combinations of Bernstein Polynomials publication-title: Can. J. Math. doi: 10.4153/CJM-1953-063-7 – volume: 21 start-page: 693 year: 1972 end-page: 708 ident: CR1 article-title: Inverse Theorems for Bernstein Polynomials publication-title: Indiana Univ. Math. J. doi: 10.1512/iumj.1972.21.21054 – ident: CR4 – volume: XXXVI start-page: 395 issue: 2 year: 2003 end-page: 404 ident: CR13 article-title: Global Approximation Theorems for the Generalized Modified Szász-Mirakyan Operators in Polynomial Weight Spaces publication-title: Demonstr. Math. – volume: 26 start-page: 277 year: 1979 end-page: 292 ident: CR3 article-title: Global Inverse Theorem for Combinations of Bernstein Polynomials publication-title: J. Approx. Theory doi: 10.1016/0021-9045(79)90065-0 – volume: 30 start-page: 83 issue: 3–6 year: 1995 end-page: 101 ident: CR7 article-title: Local Smoothness of Functions and Bernstein-Durrmeyer Operators publication-title: Computers Math. Applic. doi: 10.1016/0898-1221(95)00088-7 – volume: 38 start-page: 182 issue: 2 year: 2009 end-page: 190 ident: CR14 article-title: Inverse Theorem for the Szász-Durrmeyer Operators publication-title: Rev. Anal. Numer. Theor. Approx. – ident: CR10 – volume: 17 start-page: 251 year: 2000 end-page: 263 ident: CR15 article-title: On a Gauss-Weierstrass Generalized Integral publication-title: Akad. Ped. Kraków Rocznik Nauk.-Dydakt., 204 Prace Matematyczne – volume: 49 start-page: 364 year: 1985 end-page: 383 ident: CR12 article-title: Approximation byModified Szász Operators publication-title: Acta Sci.Math. – volume: 120 start-page: 367 issue: 4 year: 2008 end-page: 381 ident: CR9 article-title: The Lp-saturation for Linear Combination of Berenstein-Kantorovich Operators publication-title: Acta Math. Hungar. doi: 10.1007/s10474-008-7151-5 – volume: 1 start-page: 39 year: 1994 end-page: 44 ident: CR5 article-title: On a Modified Favard-Szasz Operator, Univ. Babes-Bolyai, Cluj-Napoca, Faculty of Math. and Informatics Research Seminars publication-title: Seminar on Numerical and Statistical Calculus – volume: 94 start-page: 160 year: 1998 end-page: 171 ident: CR8 article-title: Pointwise Estimate for Szasz-Type Operators publication-title: J. Approx. Theory doi: 10.1006/jath.1998.3200 – volume: 28 start-page: 1224 year: 1976 end-page: 1250 ident: CR11 article-title: Saturation and Inverse Theorems for Combinations of a Class of Exponentional-type Operators publication-title: Can. J. Math. doi: 10.4153/CJM-1976-123-8 – volume: 72 start-page: 290 year: 1993 end-page: 300 ident: CR16 article-title: On a Paper of Mazhar and Totik publication-title: J. Approx. Theory doi: 10.1006/jath.1993.1023 – volume: 21 start-page: 693 year: 1972 ident: 167_CR1 publication-title: Indiana Univ. Math. J. doi: 10.1512/iumj.1972.21.21054 – volume: 49 start-page: 364 year: 1985 ident: 167_CR12 publication-title: Acta Sci.Math. – volume: 26 start-page: 277 year: 1979 ident: 167_CR3 publication-title: J. Approx. Theory doi: 10.1016/0021-9045(79)90065-0 – volume: XXXVI start-page: 395 issue: 2 year: 2003 ident: 167_CR13 publication-title: Demonstr. Math. – volume: 30 start-page: 83 issue: 3–6 year: 1995 ident: 167_CR7 publication-title: Computers Math. Applic. doi: 10.1016/0898-1221(95)00088-7 – volume: 5 start-page: 1 year: 1989 ident: 167_CR6 publication-title: Approx. Theory and its Appl. doi: 10.1007/BF02836120 – volume: 94 start-page: 160 year: 1998 ident: 167_CR8 publication-title: J. Approx. Theory doi: 10.1006/jath.1998.3200 – volume: 17 start-page: 251 year: 2000 ident: 167_CR15 publication-title: Akad. Ped. Kraków Rocznik Nauk.-Dydakt., 204 Prace Matematyczne – volume: 72 start-page: 290 year: 1993 ident: 167_CR16 publication-title: J. Approx. Theory doi: 10.1006/jath.1993.1023 – volume: 38 start-page: 182 issue: 2 year: 2009 ident: 167_CR14 publication-title: Rev. Anal. Numer. Theor. Approx. doi: 10.33993/jnaat382-914 – volume: 28 start-page: 1224 year: 1976 ident: 167_CR11 publication-title: Can. J. Math. doi: 10.4153/CJM-1976-123-8 – volume: 1 start-page: 39 year: 1994 ident: 167_CR5 publication-title: Seminar on Numerical and Statistical Calculus – ident: 167_CR4 – volume: 5 start-page: 559 year: 1953 ident: 167_CR2 publication-title: Can. J. Math. doi: 10.4153/CJM-1953-063-7 – ident: 167_CR10 – volume: 120 start-page: 367 issue: 4 year: 2008 ident: 167_CR9 publication-title: Acta Math. Hungar. doi: 10.1007/s10474-008-7151-5 |
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| Snippet | In the present paper we study properties of Szaisz-Durrmeyer operators. These operators are introduced in [5] and generalize the integral operators proposed by... In the present paper we study properties of Szász-Durrmeyer operators. These operators are introduced in [5] and generalize the integral operators proposed by... |
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| SubjectTerms | Analysis Approximations and Expansions Durrmeyer算子 Mathematics Mathematics and Statistics 分算 属性 运营商 |
| Title | ON CERTAIN PROPERTIES OF THE COMBINATIONS OF SZASZ-DURRMEYER OPERATORS |
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