메뉴 건너뛰기




Volumn 50, Issue 7-8, 2009, Pages 984-998

Global smoothness and uniform convergence of smooth Gauss-Weierstrass singular operators

Author keywords

Gauss Weierstrass singular integral; Modulus of smoothness; Rate of convergence; Simultaneous approximation; Simultaneous global smoothness

Indexed keywords

GAUSS-WEIERSTRASS SINGULAR INTEGRAL; MODULUS OF SMOOTHNESS; RATE OF CONVERGENCE; SIMULTANEOUS APPROXIMATION; SIMULTANEOUS GLOBAL SMOOTHNESS;

EID: 69249232301     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2009.04.001     Document Type: Article
Times cited : (12)

References (21)
  • 1
    • 0346219471 scopus 로고
    • Global smoothness preservation by singular integrals
    • Anastassiou G.A. Global smoothness preservation by singular integrals. Proyecciones 14 2 (1995) 83-88
    • (1995) Proyecciones , vol.14 , Issue.2 , pp. 83-88
    • Anastassiou, G.A.1
  • 3
    • 84985376667 scopus 로고
    • On the rate of convergence of singular integrals for Hölder continuous functions
    • Mohapatra R.N., and Rodriguez R.S. On the rate of convergence of singular integrals for Hölder continuous functions. Math. Nachr. 149 (1990) 117-124
    • (1990) Math. Nachr. , vol.149 , pp. 117-124
    • Mohapatra, R.N.1    Rodriguez, R.S.2
  • 4
    • 0348110709 scopus 로고
    • Remark on the degree of approximation of continuous functions by singular integrals
    • Gal S.G. Remark on the degree of approximation of continuous functions by singular integrals. Math. Nachr. 164 (1993) 197-199
    • (1993) Math. Nachr. , vol.164 , pp. 197-199
    • Gal, S.G.1
  • 5
    • 0348139100 scopus 로고    scopus 로고
    • Degree of approximation of continuous functions by some singular integrals
    • Gal S.G. Degree of approximation of continuous functions by some singular integrals. Rev. Anal. Numér, Théor. Approx., (Cluj) Tome XXVII 2 (1998) 251-261
    • (1998) Rev. Anal. Numér, Théor. Approx., (Cluj) , vol.Tome XXVII , Issue.2 , pp. 251-261
    • Gal, S.G.1
  • 7
    • 0346044496 scopus 로고    scopus 로고
    • Convergence of generalized singular integrals to the unit, univariate case
    • Anastassiou G.A., and Gal S. Convergence of generalized singular integrals to the unit, univariate case. Math. Inequalities Appl. 3 4 (2000) 511-518
    • (2000) Math. Inequalities Appl. , vol.3 , Issue.4 , pp. 511-518
    • Anastassiou, G.A.1    Gal, S.2
  • 8
    • 28844449852 scopus 로고    scopus 로고
    • Convergence of generalized singular integrals to the unit, multivariate case
    • World Sci. Publ. Co, Singapore
    • Anastassiou G.A., and Gal S. Convergence of generalized singular integrals to the unit, multivariate case. Applied Math. Rev. vol. 1 (2000), World Sci. Publ. Co, Singapore 1-8
    • (2000) Applied Math. Rev. , vol.1 , pp. 1-8
    • Anastassiou, G.A.1    Gal, S.2
  • 9
    • 33751066945 scopus 로고    scopus 로고
    • Basic convergence with rates of smooth Picard singular integral operators
    • Anastassiou G.A. Basic convergence with rates of smooth Picard singular integral operators. J. Comput. Anal. Appl 8 4 (2006) 313-334
    • (2006) J. Comput. Anal. Appl , vol.8 , Issue.4 , pp. 313-334
    • Anastassiou, G.A.1
  • 10
    • 69249237940 scopus 로고    scopus 로고
    • p convergence with rates of smooth Picard singular operators
    • Hindawi Publ. Corp., New York
    • p convergence with rates of smooth Picard singular operators. Differential & Difference Equations and Applications (2006), Hindawi Publ. Corp., New York 31-45
    • (2006) Differential & Difference Equations and Applications , pp. 31-45
    • Anastassiou, G.A.1
  • 11
    • 28844444543 scopus 로고    scopus 로고
    • Global smoothness and uniform convergence of smooth Picard singular operators
    • Anastassiou G.A. Global smoothness and uniform convergence of smooth Picard singular operators. Comput. Math. Appl. 50 10-12 (2005) 1755-1766
    • (2005) Comput. Math. Appl. , vol.50 , Issue.10-12 , pp. 1755-1766
    • Anastassiou, G.A.1
  • 14
    • 28844456689 scopus 로고
    • Rate of convergence of non-positive linear convolution type operators. A sharp inequality
    • Anastassiou G.A. Rate of convergence of non-positive linear convolution type operators. A sharp inequality. J. Math. Anal. and Appl. 142 (1989) 441-451
    • (1989) J. Math. Anal. and Appl. , vol.142 , pp. 441-451
    • Anastassiou, G.A.1
  • 15
    • 38249025100 scopus 로고
    • Sharp inequalities for convolution type operators
    • Anastassiou G.A. Sharp inequalities for convolution type operators. J. Approx. Theory 58 (1989) 259-266
    • (1989) J. Approx. Theory , vol.58 , pp. 259-266
    • Anastassiou, G.A.1
  • 19
    • 14044273496 scopus 로고    scopus 로고
    • Taylor integral remainders and moduli of smoothness
    • Dragomir (Ed). Cho Y., and Kim J. (Eds), Nova Science Publishers, Inc.
    • Anastassiou G.A. Taylor integral remainders and moduli of smoothness. In: Dragomir (Ed). In: Cho Y., and Kim J. (Eds). Inequality Theory and Applications vol. 1 (2001), Nova Science Publishers, Inc. 1-13
    • (2001) Inequality Theory and Applications , vol.1 , pp. 1-13
    • Anastassiou, G.A.1
  • 20
    • 69249224400 scopus 로고
    • Longman Sci. & Tech, Harlow, UK
    • Anastassiou G.A. Moments in Probability and Approximation Theory. Pitman Research Notes in Math. vol. 287 (1993), Longman Sci. & Tech, Harlow, UK
    • (1993) Pitman Research Notes in Math. , vol.287
    • Anastassiou, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.