Determinants of two kinds of matrices whose elements involve sine functions

Michał Rózański

doi:10.1515/math-2019-0096

Determinants of two kinds of matrices whose elements involve sine functions

Michał Rózański

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

3 Cytowania z bazy Scopus

Abstrakt

The presented paper is strictly connected, among others, with the paper On the sum of some alternating series, Comp. Math. Appl. (2011), written by Wituła and Słota. A problem concerning the form of determinants formulated in the cited paper is solved here. Next, the obtained result is adapted to solve some system of linear equations and the description of the sum of alternating series.

Język oryginału	angielski
Strony (od–do)	1332-1339
Liczba stron	8
Czasopismo	Open Mathematics
Tom	17
Numer wydania	1
Identyfikatory DOI	https://doi.org/10.1515/math-2019-0096
Status publikacji	Opublikowano - 1 sty 2019

Obszary tematyczne ASJC Scopus

Matematyka ogólna

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10.1515/math-2019-0096

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Cytowanie

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title = "Determinants of two kinds of matrices whose elements involve sine functions",

abstract = "The presented paper is strictly connected, among others, with the paper On the sum of some alternating series, Comp. Math. Appl. (2011), written by Witu{\l}a and S{\l}ota. A problem concerning the form of determinants formulated in the cited paper is solved here. Next, the obtained result is adapted to solve some system of linear equations and the description of the sum of alternating series.",

keywords = "Fourier series, alternating series, determinant, sine matrix",

author = "Micha{\l} R{\'o}za{\'n}ski",

note = "Publisher Copyright: {\textcopyright} 2019 R{\'o}za{\'n}ski, published by De Gruyter 2019.",

year = "2019",

month = jan,

day = "1",

doi = "10.1515/math-2019-0096",

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AU - Rózański, Michał

PY - 2019/1/1

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AB - The presented paper is strictly connected, among others, with the paper On the sum of some alternating series, Comp. Math. Appl. (2011), written by Wituła and Słota. A problem concerning the form of determinants formulated in the cited paper is solved here. Next, the obtained result is adapted to solve some system of linear equations and the description of the sum of alternating series.

KW - Fourier series

KW - alternating series

KW - determinant

KW - sine matrix

UR - https://www.scopus.com/pages/publications/85075462904

U2 - 10.1515/math-2019-0096

DO - 10.1515/math-2019-0096

M3 - Article

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Determinants of two kinds of matrices whose elements involve sine functions

Abstrakt

Obszary tematyczne ASJC Scopus

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