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Volumn 88, Issue 7, 2009, Pages 1015-1037

Uniform convergence with rates of smooth Gauss-Weierstrass singular integral operators

Author keywords

Best constant; Gauss Weierstrass singular integral; Modulus of smoothness; Sharp inequality

Indexed keywords


EID: 70349861443     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810903114809     Document Type: Article
Times cited : (7)

References (13)
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  • 3
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    • S.G. Gal, Degree of approximation of continuous functions by some singular integrals, Rev. Anal. Numer. Theor. Approx. (Cluj) Tome XXVII(2) (1998), pp. 251-261.
    • (1998) Rev. Anal. Numer. Theor. Approx. (Cluj) Tome , vol.27 , Issue.2 , pp. 251-261
    • Gal, S.G.1
  • 4
    • 84985376667 scopus 로고
    • On the rate of convergence of singular integrals for Hölder continuous functions
    • R.N. Mohapatra and R.S. Rodriguez, On the rate of convergence of singular integrals for Hölder continuous functions, Math. Nachr. 149 (1990), pp. 117-124.
    • (1990) Math. Nachr , vol.149 , pp. 117-124
    • Mohapatra, R.N.1    Rodriguez, R.S.2
  • 5
    • 0345925535 scopus 로고
    • Moments in Probability and Approximation Theory
    • Longman Science and Technology, Harlow, UK
    • G.A. Anastassiou, Moments in Probability and Approximation Theory, Pitman Research Notes in Mathematics Series, Vol. 287, Longman Science and Technology, Harlow, UK, 1993.
    • (1993) Pitman Research Notes in Mathematics Series , vol.287
    • Anastassiou, G.A.1
  • 6
    • 0346044496 scopus 로고    scopus 로고
    • Convergence of generalized singular integrals to the unit, univariate case
    • G.A. Anastassiou and S. Gal, Convergence of generalized singular integrals to the unit, univariate case, Math. Inequal. Appl. 3(4) (2000), pp. 511-518.
    • (2000) Math. Inequal. Appl , vol.3 , Issue.4 , pp. 511-518
    • Anastassiou, G.A.1    Gal, S.2
  • 8
    • 28844456689 scopus 로고
    • Rate of convergence of non-positive linear convolution type operators. A sharp inequality
    • G.A. Anastassiou, Rate of convergence of non-positive linear convolution type operators. A sharp inequality, J. Math. Anal. Appl. 142 (1989), pp. 441-451.
    • (1989) J. Math. Anal. Appl , vol.142 , pp. 441-451
    • Anastassiou, G.A.1
  • 9
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    • Sharp inequalities for convolution type operators
    • G.A. Anastassiou, Sharp inequalities for convolution type operators, J. Approx. Theory 58 (1989), pp. 259-266.
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  • 13
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    • Kemperman, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.