Quasi-orthogonal expansions for functions in BMO

Subject Areas : Applied Mathematics

Mojtaba Ghanbari ^{1 *}

1 - Department of Mathematics, Farahan Branch, Islamic Azad University, Farahan, Iran

Received: 2020-02-24 Accepted : 2020-02-24 Published : 2020-05-01

Keywords: Haar wavelet, BMO space, Orthonormal system,

Abstract :

For {φ_n(x)}, x ε [0,1] an orthonormalsystem of uniformly bounded functions, ||φ_n||_{∞}≤ M