Alan üzerinde ortogonal polinomların bazı özellikleri

Değer, Uğur.

ÖZ: GczC, L = dG, Jordan eğrisi ile sınırlı sonlu bir bölge, h(z), G 'de tanımlı negatif olmayan, G 'nin alam üzerinde integrallenebilir ve hemen hemen her yerde sıfırdan farklı bir fonksiyon ve { Kn (z)}T, \\Kz)Kn{z)Kjî)d. ABSTRACT: Let G c= C be a finite domain bounded by a Jordan curve L = dG, let h (2) be a nonnegative weight function defined in G, and let {Ar"(z)}°° be an orthonormal polynomials system over the area of G domain by h(z) weight function that satisfy condition \\h(z)K^)JJz)dcrJ1' n = m a [0, n*m First of all, we are going to investigate polynomials that are orthonormal with h[z) weight function over the area of a finite simple connected domain bounded with quasiconform curve in this work. Second, we obtain some estimates for the rate of tending to zero of modulu of ortho...