Özet

In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called from the q-Bernoulli polynomials. We demonstrate the relationship between polynomials and the little q-Legendre polynomials, and derive a generalized formula for by leveraging the little q-Legendre polynomials. Furthermore, we present some properties of polynomials . Finally, we introduce a hybrid of block-pulse function and orthogonal polynomials and examine various properties of these polynomials.

Anahtar Kelimeler

block-pulse functions | orthonormal polynomials | q-Bernoulli polynomials

Atıf Sayıları
Scopus	1

Orthogonalizing q-Bernoulli polynomials

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