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Exponential convexity, Euler-Radau expansions and Stolarsky means

Julije Jakšetić 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

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

Datum izdavanja:

27.6.2013.

Posjeta: 1.650 *