Trigonometric Fm-transform and its approximative properties

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801N8U" target="_blank" >RIV/61988987:17610/17:A1801N8U - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00500-017-2637-0" target="_blank" >https://link.springer.com/article/10.1007/s00500-017-2637-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00500-017-2637-0" target="_blank" >10.1007/s00500-017-2637-0</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Trigonometric Fm-transform and its approximative properties

Popis výsledku v původním jazyce

The paper is devoted to generalizing the F-transform with constant components to the trigonometric Fm-transform (or tFm-transform for short ) where tFm-transform components are trigonometric polynomials up to m degree, m ≥ 0. The involving basic functions for tFm-transform are sinusoidal shaped functions which are smooth functions. Applying theGram-Schmidt procedure in order to achieving an orthogonal system, leads us to simple calculations of trigonometric basis functions and we obtain an explicit representation for them for arbitrary m. The approximation and convergence properties of the direct and inverse tFm-transforms are discussed and the applicability of tFm-transforms are illustrated by some examples.

Název v anglickém jazyce

Trigonometric Fm-transform and its approximative properties

Popis výsledku anglicky

The paper is devoted to generalizing the F-transform with constant components to the trigonometric Fm-transform (or tFm-transform for short ) where tFm-transform components are trigonometric polynomials up to m degree, m ≥ 0. The involving basic functions for tFm-transform are sinusoidal shaped functions which are smooth functions. Applying theGram-Schmidt procedure in order to achieving an orthogonal system, leads us to simple calculations of trigonometric basis functions and we obtain an explicit representation for them for arbitrary m. The approximation and convergence properties of the direct and inverse tFm-transforms are discussed and the applicability of tFm-transforms are illustrated by some examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

SOFT COMPUT

ISSN

1432-7643

e-ISSN

—

Svazek periodika

21

Číslo periodika v rámci svazku

13

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

11

Strana od-do

3567-3577

Kód UT WoS článku

000403472700009

EID výsledku v databázi Scopus

—