Monotonicity character of convex combinations of two sequences generated by the square of the cube root function
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Monotonicity character of convex combinations of two sequences generated by the square of the cube root function
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA23-06476S" target="_blank" >GA23-06476S: Analysis of Discrete and Continuous Dynamical Systems with Emphasis on Identification Problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Inequalities and Applications
ISSN
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e-ISSN
1029-242X
Volume of the periodical
2025
Issue of the periodical within the volume
October
Country of publishing house
CH - SWITZERLAND
Number of pages
12
Pages from-to
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UT code for WoS article
001594103300001
EID of the result in the Scopus database
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