Discrete Cubic Interpolatory Splines | Zendy

Manjulata Shrivastava | Zendy

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Discrete Cubic Interpolatory Splines

Author(s) -

Manjulata Shrivastava

Publication year - 1992

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195167938

Subject(s) - mathematics , monotone cubic interpolation , box spline , spline interpolation , pure mathematics , mathematical analysis , bicubic interpolation , statistics , bilinear interpolation

In the present paper, existence, uniqueness and convergence properties of a discrete cubic spline which satisfies certain averaging interpolatory condition are established. This type of interpolatory condition has been studies earlier for usual cubic splines in [3]. More precise range for weights involved in the interpolatory condition and sharper error estimates than in [3], are obtained in the present paper. §

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