Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Pietro Cerone"'
Publikováno v:
Mathematical and Computational Applications, Vol 24, Iss 2, p 49 (2019)
In the paper, the authors introduce a unified generalization of the Catalan numbers, the Fuss numbers, the Fuss−Catalan numbers, and the Catalan−Qi function, and discover some properties of the unified generalization, including a product-ratio ex
Externí odkaz:
https://doaj.org/article/71dfa7f1bb394f02ab8623ef57565ea4
Autor:
Feng Qi, Pietro Cerone
Publikováno v:
Mathematics, Vol 6, Iss 12, p 277 (2018)
In the paper, the authors express the Fuss⁻Catalan numbers as several forms in terms of the Catalan⁻Qi function, find some analytic properties, including the monotonicity, logarithmic convexity, complete monotonicity, and minimality, of the Fuss
Externí odkaz:
https://doaj.org/article/e8e5e507b2dd4a78a73f1df4f01957a7
Autor:
Pietro Cerone
Publikováno v:
Le Matematiche, Vol 56, Iss 1, Pp 3-26 (2001)
Series arising from Volterra integral equations of the second kind are summed. The series involve inverse powers of roots of the characteristic equation. It is shown how previous similar series obtained from differential-difference equations are part
Externí odkaz:
https://doaj.org/article/5689f445c2c4453fac995546605ea3e1
Publikováno v:
Ukrainian Mathematical Journal. 69:1306-1327
By using the Darboux formula obtained as a generalization of the Taylor formula, we deduce some Jensen–Ostrowski-type inequalities. The applications to quadrature rules and f-divergence measures (specifically, for higher-order χ-divergence) are al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c1e8c76681f05efbe332d06a69fa84a
https://doi.org/10.1007/s11253-017-1432-5
https://doi.org/10.1007/s11253-017-1432-5
Publikováno v:
Journal of Mathematical Inequalities. :947-964
We present some inequalities of Ostrowski and trapezoid type with complex exponential weight, for complex-valued absolutely continuous functions. These inequalities are related to Pompeiu's mean value theorem. Special cases of these inequalities are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80b78b37e4f5ab0ba62020cb264f0dba
https://doi.org/10.7153/jmi-2017-11-72
https://doi.org/10.7153/jmi-2017-11-72
Autor:
Pietro Cerone, Sever S. Dragomir
Publikováno v:
Handbook of Analytic-Computational Methods in Applied Mathematics ISBN: 9780429123610
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::109962819685c51f89dd4fe8f3f8980f
https://doi.org/10.1201/9780429123610-3
https://doi.org/10.1201/9780429123610-3
Autor:
Pietro Cerone, Sever S. Dragomir
Publikováno v:
Handbook of Analytic-Computational Methods in Applied Mathematics ISBN: 9780429123610
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b0918d6ac6c5cdeaa660c83e973e2fc3
https://doi.org/10.1201/9780429123610-4
https://doi.org/10.1201/9780429123610-4
Publikováno v:
Mathematical and Computational Applications
Volume 24
Issue 2
Mathematical and Computational Applications, Vol 24, Iss 2, p 49 (2019)
Volume 24
Issue 2
Mathematical and Computational Applications, Vol 24, Iss 2, p 49 (2019)
In the paper, the authors introduce a unified generalization of the Catalan numbers, the Fuss numbers, the Fuss&ndash
Catalan numbers, and the Catalan&ndash
Qi function, and discover some properties of the unified generalization, including
Catalan numbers, and the Catalan&ndash
Qi function, and discover some properties of the unified generalization, including
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b5c7b57502087a09a60ce0b1293a683
Autor:
Pietro Cerone
Publikováno v:
Frontiers in Functional Equations and Analytic Inequalities ISBN: 9783030289492
Integral representations for a generalized Mathieu series and its companions are used to obtain approximation and bounds for undertaking analysis leading to novel insights for the Dirichlet Beta function and its companions. The bounds are procured us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58c7b8fddaa104968442780a8a6616a9
https://doi.org/10.1007/978-3-030-28950-8_31
https://doi.org/10.1007/978-3-030-28950-8_31
Autor:
Pietro Cerone, Christopher T. Lenard
Publikováno v:
Volume: 48, Issue: 5 1367-1387
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
Integral representations for a generalized Mathieu series and its companions are used to obtain bounds for their corresponding series. The bounds are procured mainly using results pertaining to the Čebyšev functional. The relationship to Zeta type
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b3fb628604966b6e6de1f80a253e008
https://doi.org/10.15672/hjms.2018.579
https://doi.org/10.15672/hjms.2018.579