The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and H?lder Metrics

The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and H?lder Metrics

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摘要 We will study the strong approximation by Fourier-Vilenkin series using matrices with some general monotone condition. The strong Vallee-Poussin, which means of Fourier-Vilenkin series are also investigated. We will study the strong approximation by Fourier-Vilenkin series using matrices with some general monotone condition. The strong Vallee-Poussin, which means of Fourier-Vilenkin series are also investigated.

作者 T.V.Iofina S.S.Volosivets

机构地区 Saratov State University

出处《Analysis in Theory and Applications》 CSCD 2015年第1期1-12,共12页 分析理论与应用（英文刊）

关键词 Vilenkin systems strong approximation generalized monotonici~. Vilenkin systems, strong approximation, generalized monotonici~.

分类号 O151.21 [理学—基础数学]

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1N. Yu. Agafonova, A-summability and multiplicators of Holder classes of Fourier series with respect to character systems, Izvestiya of Saratov State Univ. Ser. Mat. Mech. Inform., 11(2) (2011), 3-8.
2M. Avdispahic and M. Pepic, Summability and integrability of vilenkin series, Collect. Math., 51 (3) (2000), 237-354.
3W. Bloom and J. J. E Fournier, Smoothness conditions and integrability theorems on bound- ed vilenkin groups, J. Austral. Math. Soc. (Ser. A), 45(1) (1988), 46-61.
4P. Chandra, On the degree of approximation of class of functions by means of Fourier series, Acta Math. Hungar., 52(1-2) (1988), 199-205.
5S. Fridli, On the rate of convergence of Cesaro means of WalshoFourier series, J. Approx. Theor, 76(1) (1994), 31-53.
6S. Fridli and F. Schipp, Strong aproximation via Sidon type inequalities, J. Approx. Theory, 94(3) (1998), 263-284.
7S. Fridli and F. Schipp, Strong summability and sidon type inequalities, Acta Sci. Math. (Szeged), 60(1-2) (1995), 277-289.
8B. I. Golubov, A. V. Efimov and V. A. Skvortsov, Walsh Series and Transforms, Dordrecht, 1991.
9T. V. Iofina and S. S. Volosivets, on the degree of approximation by means of Fourier- Vilenkin series in Hiolder and LP norm, East J. Approx., 15(2) (2009), 143-158.
10L. Leindler, on the degree of approximation of continuous functions, Acta Math. Hungar., 104 (2004), 105-113.

1Dai Feng (1) , Wang Kunyang (1).ON APPROXIMATION OF FUNCTIONS ON SPHERE[J].Analysis in Theory and Applications,1999,15(4):50-59.
2于林.向量值Vilenkin鞅的Hardy型不等式[J].三峡大学学报（自然科学版）,2003,25(3):269-271.
3Martin G.GRIGORYAN,Stepan SARGSYAN.ON THE FOURIER-VILENKIN COEFFICIENTS[J].Acta Mathematica Scientia,2017,37(2):293-300.
4Guang Gui CHEN,Gen Sun FANG,Yuan Long RUAN.Non-Linear Approximation of Functions with Mixed Smoothness by Sets of Finite Pseudo-Dimension[J].Acta Mathematica Sinica,English Series,2007,23(4):671-676. 被引量：2
5S.N.Dubey,A.Kumar.APPROXIMATION OF FUNCTIONS BY(N,p)OPERATOR[J].Analysis in Theory and Applications,1994,10(2):67-73.
6Wang Heping (Capital Normal University, China) Sun Yongsheng (Beijing Normal University, China).APPROXIMATION OF FUNCTIONS IN非汉字符号,S_1~r BY ENTIRE FUNCTIONS[J].Analysis in Theory and Applications,1999,15(4):88-93. 被引量：1
7Tingfan Xie,Ziyu Wang China Institute of Metrology, China Henan University, China.ON THE POINTWISE ESTIMATIONS OF APPROXIMATION OF FUNCTIONS AND THEIR DERIVATIVES BY HERMITE INTERPOLATION[J].Analysis in Theory and Applications,1994,10(3):45-55. 被引量：1
8张传洲,张学英.TWO-DIMENSIONAL MAXIMAL OPERATOR OF DYADIC DERIVATIVE ON VILENKIN MARTINGALE SPACES[J].Acta Mathematica Scientia,2013,33(1):279-289.
9Ulrich Abel,Vijay Gupta,Mircea Ivan.ASYMPTOTIC APPROXIMATION OF FUNCTIONS AND THEIR DERIVATIVES BY GENERALIZED BASKAKOV-SZAZS-DURRMEYER OPERATORS[J].Analysis in Theory and Applications,2005,21(1):15-26. 被引量：1
10Lan Senhua (Lishui Teachers College, China).BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS IN HERZ-TYPE SPACES ON LOCALLY COMPACT VILENKIN GROUPS[J].Approximation Theory and Its Applications,2002,18(3):15-25. 被引量：5

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The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and H?lder Metrics

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