Computation of Boundaries and Sums of Reduced Harmonic Series Formed by Zero and Another Digit

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F10%3A00425196" target="_blank" >RIV/60162694:G43__/10:00425196 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Computation of Boundaries and Sums of Reduced Harmonic Series Formed by Zero and Another Digit

Popis výsledku v původním jazyce

This contribution deals with harmonic series and especially with one of the simplest reduced harmonic series -- the reduced harmonic series formed by zero and another digit. The lower boundaries and the upper one's of sums of all these nine reduced harmonic series are derived. The values of these boundaries are then given in more precise way. Furthermore sums of these nine infinite series are computed. This contribution as an example of scientific computations in CAS Mathcad can be an inspiration for teachers of mathematics whose are teaching the topic Infinite series or as a subject matter for work with talented students.

Název v anglickém jazyce

Computation of Boundaries and Sums of Reduced Harmonic Series Formed by Zero and Another Digit

Popis výsledku anglicky

This contribution deals with harmonic series and especially with one of the simplest reduced harmonic series -- the reduced harmonic series formed by zero and another digit. The lower boundaries and the upper one's of sums of all these nine reduced harmonic series are derived. The values of these boundaries are then given in more precise way. Furthermore sums of these nine infinite series are computed. This contribution as an example of scientific computations in CAS Mathcad can be an inspiration for teachers of mathematics whose are teaching the topic Infinite series or as a subject matter for work with talented students.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2010

Kód důvěrnosti údajů

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

Název periodika

Journal of Applied Mathematics

ISSN

1337-6365

e-ISSN

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Svazek periodika

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Číslo periodika v rámci svazku

II

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

8

Strana od-do

103-110

Kód UT WoS článku

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EID výsledku v databázi Scopus

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