Pregled bibliografske jedinice broj: 966424
On the comparison of two different one-parametric generalizations of the logarithmic mean
On the comparison of two different one-parametric generalizations of the logarithmic mean // Abstract Booklet of MICOPAM 2018 / Simsek, Yilmaz (ur.).
Antalya, 2018. str. 60-60 (pozvano predavanje, recenziran, sažetak, znanstveni)
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Naslov
On the comparison of two different one-parametric generalizations of the logarithmic mean
Autori
Rodić, Mirna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Abstract Booklet of MICOPAM 2018
/ Simsek, Yilmaz - Antalya, 2018, 60-60
Skup
The Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2018)
Mjesto i datum
Antalya, Turska, 26.10.2018. - 29.10.2018
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Recenziran
Ključne riječi
logarithmic mean ; extended logarithmic mean ; generalized logarithmic mean ; power mean
Sažetak
There exist several generalizations of the well-known logarithmic mean. R. Cisbani, L. Galvani and E. L. Dod independently defined the extended logarithmic mean L_r. For certain r, this mean becomes the arithmetic mean, geometric mean, logarithmic mean and identric mean, but there is no such r for which it becomes harmonic mean. On the other hand, H. Alzer defined another one-parametric generalization - the generalized logarithmic mean F_r. For certain r, this mean becomes the arithmetic mean, geometric mean, harmonic mean and logarithmic mean, but there is no such r for which it becomes identric mean. In this talk, it is explained weather these two one-parametric generalizations of the logarithmic mean are comparable, and how. Their comparison with the power means is also given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
