Generalised Mean Averaging Interpolation by Discrete Cubic Splines | Zendy

Manjulata Shrivastava | Zendy

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Generalised Mean Averaging Interpolation by Discrete Cubic Splines

Author(s) -

Manjulata Shrivastava

Publication year - 1994

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/1195166276

Subject(s) - mathematics , riemann–stieltjes integral , spline interpolation , interpolation (computer graphics) , mathematical analysis , convergence (economics) , integral equation , statistics , motion (physics) , artificial intelligence , economic growth , computer science , economics , bilinear interpolation

The aim of this work is to introduce for a discrete function, certain discrete integrals which may reduce in particular to usual Riemann Stieltjes integrals. We name them as Discrete Stieltjes integrals. The existence and convergence of a discrete cubic interpolatory spline whose discrete Stieltjes integrals between consecutive meshpoints match with the corresponding integrals of a given periodic discrete function, are studied.

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