Eksistensi Interpolan Deret Ganda Sinusoida

Endang Rusyaman ( Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Unpad)
Hendra Gunawan ( Kelompk Keahlian Analisis dan Geometri, Fakultas Matematika dan Ilmu Pengetahuan Alam, ITB)
Asep Kuswandi Supriatna ( Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Unpad)
Rustam Effendy Siregar ( Jurusan Fisika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Unpad)

Jurnal Matematika & Sains
Vol 15, No 1 (2010)

This paper presents a sufficient condition for the existence of a sinusoidal double series interpolant, that is the function of the form a double Fourier sine series that passes some arbitrary points  (xi, yj, cij), with 0 < xi < 1, dan 0 < yj < 1. The proof is carried out by decomposing the matrix that contains two variables into the multiplication of two matrices each of which contains one variable only, and showing that both matrices are nonsingular.