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Volumn 14, Issue 1, 2008, Pages 16-38

On approximation methods generated by bochner-riesz kernels

Author keywords

Bochner Riesz kernels and means; Families of operators; K functional; Necessary and sufficient conditions of convergence; Realizations and moduli of smoothness related to the Laplacian

Indexed keywords


EID: 40149106993     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-007-9004-y     Document Type: Article
Times cited : (17)

References (21)
  • 2
    • 26444474696 scopus 로고    scopus 로고
    • On the method of approximation by families of linear polynomial operators
    • Burinska, Z., Runovski, K., Schmeisser, H.-J.: On the method of approximation by families of linear polynomial operators. J. Anal. Appl. 19, 677-693 (2000)
    • (2000) J. Anal. Appl. , vol.19 , pp. 677-693
    • Burinska, Z.1    Runovski, K.2    Schmeisser, H.-J.3
  • 3
    • 0031285766 scopus 로고    scopus 로고
    • Best approximation and K-functionals
    • 3
    • Chen, W., Ditzian, Z.: Best approximation and K-functionals. Acta Math. Hung. 75(3), 165-208 (1997)
    • (1997) Acta Math. Hung. , vol.75 , pp. 165-208
    • Chen, W.1    Ditzian, Z.2
  • 4
    • 84966203196 scopus 로고
    • Measure of smoothness related to the Laplacian
    • Ditzian, Z.: Measure of smoothness related to the Laplacian. Trans. Am. Math. Soc. 326, 407-422 (1991)
    • (1991) Trans. Am. Math. Soc. , vol.326 , pp. 407-422
    • Ditzian, Z.1
  • 5
    • 23944447076 scopus 로고    scopus 로고
    • On Fejer and Bochner-Riesz means
    • 4
    • Ditzian, Z.: On Fejer and Bochner-Riesz means. J. Fourier Anal. Appl. 11(4), 489-496 (2005)
    • (2005) J. Fourier Anal. Appl. , vol.11 , pp. 489-496
    • Ditzian, Z.1
  • 6
    • 0000769248 scopus 로고    scopus 로고
    • Averages and K-functionals related to the Laplacian
    • Ditzian, Z., Runovski, K.: Averages and K-functionals related to the Laplacian. J. Approx. Theory 97, 113-139 (1999)
    • (1999) J. Approx. Theory , vol.97 , pp. 113-139
    • Ditzian, Z.1    Runovski, K.2
  • 7
    • 26444586091 scopus 로고    scopus 로고
    • Realization and smoothness related to the Laplacian
    • Ditzian, Z., Runovski, K.: Realization and smoothness related to the Laplacian. Acta Math. Hung. 93, 189-223 (2001)
    • (2001) Acta Math. Hung. , vol.93 , pp. 189-223
    • Ditzian, Z.1    Runovski, K.2
  • 9
    • 33646570606 scopus 로고    scopus 로고
    • d ) and norm summability of Fourier series and Fourier transforms
    • d ) and norm summability of Fourier series and Fourier transforms. Monatsh. Math. 148, 333-349 (2006)
    • (2006) Monatsh. Math. , vol.148 , pp. 333-349
    • Feichtinger, H.G.1    Weisz, F.2
  • 10
    • 33646352993 scopus 로고    scopus 로고
    • Wiener amalgams and summability of Fourier transforms and Fourier series
    • Feichtinger, H.G., Weisz, F.: Wiener amalgams and summability of Fourier transforms and Fourier series. Math. Proc. Camb. Phil. Soc. 140, 509-536 (2006)
    • (2006) Math. Proc. Camb. Phil. Soc. , vol.140 , pp. 509-536
    • Feichtinger, H.G.1    Weisz, F.2
  • 11
    • 0000305197 scopus 로고
    • On the mean inversion of Fourier and Hankel transforms
    • Herz, C.: On the mean inversion of Fourier and Hankel transforms. Proc. Nat. Acad. Sci. 40, 996-999 (1954)
    • (1954) Proc. Nat. Acad. Sci. , vol.40 , pp. 996-999
    • Herz, C.1
  • 12
    • 0001653193 scopus 로고
    • Realization of K-functionals on subsets and constrained approximation
    • (New Series)
    • Hristov, V., Ivanov, K.: Realization of K-functionals on subsets and constrained approximation. Math. Balkanica 4, 236-257 (1990) (New Series)
    • (1990) Math. Balkanica , vol.4 , pp. 236-257
    • Hristov, V.1    Ivanov, K.2
  • 15
    • 40149097550 scopus 로고    scopus 로고
    • On some extensions of Bernstein inequalities for trigonometric polynomials
    • Runovski, K., Schmeisser, H.-J.: On some extensions of Bernstein inequalities for trigonometric polynomials. Funct. Approx. 29, 125-142 (2001)
    • (2001) Funct. Approx. , vol.29 , pp. 125-142
    • Runovski, K.1    Schmeisser, H.-J.2
  • 20
    • 0004277252 scopus 로고
    • Johann Ambrosius Barth Leipzig
    • Triebel, H.: Higher Analysis. Johann Ambrosius Barth, Leipzig (1992)
    • (1992) Higher Analysis
    • Triebel, H.1
  • 21
    • 0010874350 scopus 로고
    • Absolute convergence of Fourier integrals, summability of Fourier series and approximation by polynomial functions on the torus
    • Trigub, R.: Absolute convergence of Fourier integrals, summability of Fourier series and approximation by polynomial functions on the torus. Izv. Akad. Nauk SSSR, Ser. Mat. 44, 1378-1409 (1980)
    • (1980) Izv. Akad. Nauk SSSR, Ser. Mat. , vol.44 , pp. 1378-1409
    • Trigub, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.