Monotonicity character of convex combinations of two sequences generated by the square of the cube root function

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F26%3A0199211" target="_blank" >RIV/00216305:26620/26:0199211 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1186/s13660-025-03375-7" target="_blank" >https://link.springer.com/article/10.1186/s13660-025-03375-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1186/s13660-025-03375-7" target="_blank" >10.1186/s13660-025-03375-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Monotonicity character of convex combinations of two sequences generated by the square of the cube root function

Popis výsledku v původním jazyce

There is a natural connection between the finite sums of the reciprocals of the squares of the cube roots of positive natural numbers and two definite integrals. By using the differences between the sums and the integrals are formed in a natural way two sequences of real numbers converging to the same finite limit. We completely determine the monotonicity character of the sequences which are obtained by convex combinations of the two sequences, in an elegant way. We also present an interesting result about monotonicity character of a real function on the interval , which is used in the proof of the main result. The results are important for solving difference equations.

Název v anglickém jazyce

Monotonicity character of convex combinations of two sequences generated by the square of the cube root function

Popis výsledku anglicky

There is a natural connection between the finite sums of the reciprocals of the squares of the cube roots of positive natural numbers and two definite integrals. By using the differences between the sums and the integrals are formed in a natural way two sequences of real numbers converging to the same finite limit. We completely determine the monotonicity character of the sequences which are obtained by convex combinations of the two sequences, in an elegant way. We also present an interesting result about monotonicity character of a real function on the interval , which is used in the proof of the main result. The results are important for solving difference equations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA23-06476S" target="_blank" >GA23-06476S: Analýza diskrétních a spojitých dynamických systémů se zřetelem na problematiku identifikace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Journal of Inequalities and Applications

ISSN

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e-ISSN

1029-242X

Svazek periodika

2025

Číslo periodika v rámci svazku

October

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

12

Strana od-do

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Kód UT WoS článku

001594103300001

EID výsledku v databázi Scopus

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