메뉴 건너뛰기




Volumn 31, Issue 3, 1996, Pages 61-90

Sharp error bounds for the derivatives of Lidstone-spline interpolation II

Author keywords

Boundary value problems; Error bounds; Integral equations; Lidstone spline interpolation

Indexed keywords


EID: 0040749594     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(95)00206-5     Document Type: Article
Times cited : (10)

References (30)
  • 1
    • 84959699015 scopus 로고
    • Notes on the extension of Aitken's theorem (for polynomial interpolation) to the Everett types
    • G.J. Lidstone, Notes on the extension of Aitken's theorem (for polynomial interpolation) to the Everett types, Proc. Edinburgh Math. Soc. 2 (2), 16-19 (1929).
    • (1929) Proc. Edinburgh Math. Soc. , vol.2 , Issue.2 , pp. 16-19
    • Lidstone, G.J.1
  • 2
    • 0040594020 scopus 로고
    • A note on functions of exponential type
    • R.P. Boas, A note on functions of exponential type, Bull. Amer. Math. Soc. 47, 750-754 (1941).
    • (1941) Bull. Amer. Math. Soc. , vol.47 , pp. 750-754
    • Boas, R.P.1
  • 3
    • 84972541513 scopus 로고
    • Representation of functions by Lidstone series
    • R.P. Boas, Representation of functions by Lidstone series, Duke Math. J. 10, 239-245 (1943).
    • (1943) Duke Math. J. , vol.10 , pp. 239-245
    • Boas, R.P.1
  • 4
    • 0039408772 scopus 로고
    • On certain polynomial and other approximations to analytic functions
    • H. Poritsky, On certain polynomial and other approximations to analytic functions, Trans. Amer. Math. Soc. 34, 274-331 (1932).
    • (1932) Trans. Amer. Math. Soc. , vol.34 , pp. 274-331
    • Poritsky, H.1
  • 5
    • 0041188181 scopus 로고
    • On certain two-point expansions of integral functions of exponential type
    • I.J. Schoenberg, On certain two-point expansions of integral functions of exponential type, Bull. Amer. Math. Soc. 42, 284-288 (1936).
    • (1936) Bull. Amer. Math. Soc. , vol.42 , pp. 284-288
    • Schoenberg, I.J.1
  • 6
    • 84960555631 scopus 로고
    • On Lidstone's series and two-point expansions of analytic functions
    • J.M. Whittaker, On Lidstone's series and two-point expansions of analytic functions, Proc. London Math. Soc. 36 (2), 451-459 (1933/34).
    • (1933) Proc. London Math. Soc. , vol.36 , Issue.2 , pp. 451-459
    • Whittaker, J.M.1
  • 8
    • 0040000868 scopus 로고
    • Functions whose even derivatives have a prescribed sign
    • D.V. Widder, Functions whose even derivatives have a prescribed sign, Proc. National Acad. Sciences 26, 657-659 (1940).
    • (1940) Proc. National Acad. Sciences , vol.26 , pp. 657-659
    • Widder, D.V.1
  • 9
    • 84968487273 scopus 로고
    • Completely convex functions and Lidstone series
    • D.V. Widder, Completely convex functions and Lidstone series, Trans. Amer. Math. Soc. 51, 387-398 (1942).
    • (1942) Trans. Amer. Math. Soc. , vol.51 , pp. 387-398
    • Widder, D.V.1
  • 10
    • 0024866030 scopus 로고
    • Lidstone polynomials and boundary value problems
    • R.P. Agarwal and P.J.Y. Wong, Lidstone polynomials and boundary value problems, Computers Math. Applic. 17 (10), 1397-1421 (1989).
    • (1989) Computers Math. Applic. , vol.17 , Issue.10 , pp. 1397-1421
    • Agarwal, R.P.1    Wong, P.J.Y.2
  • 12
    • 85029978956 scopus 로고    scopus 로고
    • Explicit error bounds for the derivatives of piecewise-Lidstone interpolation
    • to appear
    • R.P. Agarwal and P.J.Y. Wong, Explicit error bounds for the derivatives of piecewise-Lidstone interpolation, J. Comp. Appl. Math. (to appear).
    • J. Comp. Appl. Math.
    • Agarwal, R.P.1    Wong, P.J.Y.2
  • 14
    • 0040594018 scopus 로고
    • Best error bounds for derivatives in two point birkhoff interpolation problem
    • A.K. Varma and G. Howell, Best error bounds for derivatives in two point Birkhoff interpolation problem, J. Approximation Theory 38, 258-268 (1983).
    • (1983) J. Approximation Theory , vol.38 , pp. 258-268
    • Varma, A.K.1    Howell, G.2
  • 15
    • 0020178439 scopus 로고
    • Boundary value problems occurring in plate deflection theory
    • R.P. Agarwal and G. Akrivis, Boundary value problems occurring in plate deflection theory, J. Comp. Appl. Math. 8, 145-154 (1982).
    • (1982) J. Comp. Appl. Math. , vol.8 , pp. 145-154
    • Agarwal, R.P.1    Akrivis, G.2
  • 16
    • 0002263566 scopus 로고
    • Quasilinearization and approximate quasilinearization for Lidstone boundary value problems
    • R.P. Agarwal and P.J.Y. Wong, Quasilinearization and approximate quasilinearization for Lidstone boundary value problems, Intern. J. Computer Math. 42, 99-116 (1992).
    • (1992) Intern. J. Computer Math. , vol.42 , pp. 99-116
    • Agarwal, R.P.1    Wong, P.J.Y.2
  • 17
    • 0001396122 scopus 로고
    • Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral method
    • P. Baldwin, Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral method, Phil. Trans. R. Soc. London A322, 281-305 (1987).
    • (1987) Phil. Trans. R. Soc. London , vol.A322 , pp. 281-305
    • Baldwin, P.1
  • 18
    • 84952399679 scopus 로고
    • Localized instability in a Bénard layer
    • P. Baldwin. Localized instability in a Bénard layer, Applicable Analysis 24, 117-156 (1987).
    • (1987) Applicable Analysis , vol.24 , pp. 117-156
    • Baldwin, P.1
  • 19
    • 0002240324 scopus 로고
    • Finite-difference methods for twelfth-order boundary value problems
    • A. Boutayeb and E.H. Twizell, Finite-difference methods for twelfth-order boundary value problems, J. Comp. Appl. Math. 35, 133-138 (1991).
    • (1991) J. Comp. Appl. Math. , vol.35 , pp. 133-138
    • Boutayeb, A.1    Twizell, E.H.2
  • 20
    • 0002055474 scopus 로고
    • Existenzaussagen und fehlerabschätzungen bei gewissen nichtlinearen randwertaufgaben mit gewöhnlichen differentialgleichungen
    • P. Forster, Existenzaussagen und Fehlerabschätzungen bei gewissen nichtlinearen Randwertaufgaben mit gewöhnlichen Differentialgleichungen, Numerische Mathematik 10, 410-422 (1967).
    • (1967) Numerische Mathematik , vol.10 , pp. 410-422
    • Forster, P.1
  • 21
    • 0002074087 scopus 로고
    • Numerical methods for the solution of special and general sixth-order boundary value problems, with applications to Bénard layer eigenvalue problems
    • E.H. Twizell and A. Boutayeb, Numerical methods for the solution of special and general sixth-order boundary value problems, with applications to Bénard layer eigenvalue problems, Proc. R. Soc. London A431, 433-450 (1990).
    • (1990) Proc. R. Soc. London , vol.A431 , pp. 433-450
    • Twizell, E.H.1    Boutayeb, A.2
  • 22
    • 0019178652 scopus 로고
    • Quintic spline solutions of boundary value problems
    • R.A. Usmani and S.A. Warsi, Quintic spline solutions of boundary value problems, Computers Math. Applic. 6 (2), 197-203 (1980).
    • (1980) Computers Math. Applic. , vol.6 , Issue.2 , pp. 197-203
    • Usmani, R.A.1    Warsi, S.A.2
  • 23
    • 0019184525 scopus 로고
    • Smooth spline solutions for boundary value problems in plate deflection theory
    • R.A. Usmani and S.A. Warsi, Smooth spline solutions for boundary value problems in plate deflection theory, Computers Math. Applic. 6 (2), 205-211 (1980).
    • (1980) Computers Math. Applic. , vol.6 , Issue.2 , pp. 205-211
    • Usmani, R.A.1    Warsi, S.A.2
  • 24
    • 0040000869 scopus 로고
    • Sharp error bounds for the derivatives of Lidstone-spline interpolation
    • P.J.Y. Wong and R.P. Agarwal, Sharp error bounds for the derivatives of Lidstone-spline interpolation, Computers Math. Applic. 28 (9), 23-53 (1994).
    • (1994) Computers Math. Applic. , vol.28 , Issue.9 , pp. 23-53
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 26
    • 0024874528 scopus 로고
    • Explicit error estimates for quintic and biquintic spline interpolation
    • P.J.Y. Wong and R.P. Agarwal. Explicit error estimates for quintic and biquintic spline interpolation, Computers Math. Applic. 18 (8), 701-722 (1989).
    • (1989) Computers Math. Applic. , vol.18 , Issue.8 , pp. 701-722
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 27
    • 0041188180 scopus 로고
    • Explicit error estimates for quintic and biquintic spline interpolation II
    • P.J.Y. Wong and R.P. Agarwal, Explicit error estimates for quintic and biquintic spline interpolation II, Computers Math. Applic. 28 (7), 51-69 (1994).
    • (1994) Computers Math. Applic. , vol.28 , Issue.7 , pp. 51-69
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 29
    • 0040594016 scopus 로고
    • A sixth order tridiagonal finite difference method for non-linear two-point boundary value problems
    • M.M. Chawala, A sixth order tridiagonal finite difference method for non-linear two-point boundary value problems, BIT 17, 128-133 (1977).
    • (1977) BIT , vol.17 , pp. 128-133
    • Chawala, M.M.1
  • 30
    • 0040594015 scopus 로고
    • Quintic spline solutions of Fredholm integral equations of the second kind
    • P.J.Y. Wong and R.P. Agarwal, Quintic spline solutions of Fredholm integral equations of the second kind, Intern. J. Computer Math. 33, 237-249 (1990).
    • (1990) Intern. J. Computer Math. , vol.33 , pp. 237-249
    • Wong, P.J.Y.1    Agarwal, R.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.