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Exponential convexity, Euler-Radau expansions and Stolarsky means

Julije Jakšetić   ORCID icon orcid.org/0000-0001-7469-6600 ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Croatia
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia

Puni tekst: engleski, pdf (334 KB) str. 81-94 preuzimanja: 504* citiraj
APA 6th Edition
Jakšetić, J. i Pečarić, J. (2013). Exponential convexity, Euler-Radau expansions and Stolarsky means. Rad Hrvatske akademije znanosti i umjetnosti, (515=17), 81-94. Preuzeto s https://hrcak.srce.hr/104408
MLA 8th Edition
Jakšetić, Julije i Josip Pečarić. "Exponential convexity, Euler-Radau expansions and Stolarsky means." Rad Hrvatske akademije znanosti i umjetnosti, vol. , br. 515=17, 2013, str. 81-94. https://hrcak.srce.hr/104408. Citirano 10.08.2020.
Chicago 17th Edition
Jakšetić, Julije i Josip Pečarić. "Exponential convexity, Euler-Radau expansions and Stolarsky means." Rad Hrvatske akademije znanosti i umjetnosti , br. 515=17 (2013): 81-94. https://hrcak.srce.hr/104408
Harvard
Jakšetić, J., i Pečarić, J. (2013). 'Exponential convexity, Euler-Radau expansions and Stolarsky means', Rad Hrvatske akademije znanosti i umjetnosti, (515=17), str. 81-94. Preuzeto s: https://hrcak.srce.hr/104408 (Datum pristupa: 10.08.2020.)
Vancouver
Jakšetić J, Pečarić J. Exponential convexity, Euler-Radau expansions and Stolarsky means. Rad Hrvatske akademije znanosti i umjetnosti [Internet]. 2013 [pristupljeno 10.08.2020.];(515=17):81-94. Dostupno na: https://hrcak.srce.hr/104408
IEEE
J. Jakšetić i J. Pečarić, "Exponential convexity, Euler-Radau expansions and Stolarsky means", Rad Hrvatske akademije znanosti i umjetnosti, vol., br. 515=17, str. 81-94, 2013. [Online]. Dostupno na: https://hrcak.srce.hr/104408. [Citirano: 10.08.2020.]

Sažetak
We use Euler and Radau two-point formulas in order
to generalize Cauchy means defined in [5] that are closely related
to Stolarsky means. The gain of this approach is twofold. First,
we are able to construct exponentially convex functions that are
an essential ingredient of our new means since this fact leads to
proof of monotonicity of constructed Cauchy means. Second, constructed
exponentially convex functions are added as non-trivial to
sparse examples of exponentially convex functions since invention
of exponential convexity back to 1929.

Ključne riječi
General two-point formulae; Stolarsky means; exponential convexity; Cauchy means

Hrčak ID: 104408

URI
https://hrcak.srce.hr/104408

Posjeta: 619 *