A Comparison between Different Concepts of Almost Orthogonal Polynomials

TL;DR

This paper explores various concepts of almost orthogonality in polynomial sequences, defining new types of almost orthogonal polynomials and analyzing their properties for modeling electronic systems.

Contribution

It introduces new sequences of almost orthogonal polynomials, including quasi-orthogonality, and examines their impact on modeling electronic systems.

Findings

Defined new almost orthogonal polynomial sequences

Analyzed the influence of quasi-orthogonality

Demonstrated applications in electronic system modeling

Abstract

In this paper, we will discuss the notion of almost orthogonality in a functional sequence.Especially, we will define a few sequences of almost orthogonal polynomials which can be used successfully for modeling of electronic systems which generate orthonormal basis. We will include quasi-orthogonality and examine its influence on the behavior of these sequences.