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Pregled bibliografske jedinice broj: 441734

Gauss-Steffensen's means


Krulić, Kristina; Pečarić, Josip; Smoljak, Ksenija
Gauss-Steffensen's means // Mathematica balkanica, 24 (2010), 1-2; 177-190 (podatak o recenziji nije dostupan, članak, znanstveni)


CROSBI ID: 441734 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Gauss-Steffensen's means

Autori
Krulić, Kristina ; Pečarić, Josip ; Smoljak, Ksenija

Izvornik
Mathematica balkanica (0205-3217) 24 (2010), 1-2; 177-190

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Steffensen inequality; Gauss inequality; monotone function; means

Sažetak
In this paper we define a functional as a difference between the left-hand side and the right-hand side of the Gauss-Steffensen inequality and study its properties, such as exponential and logarithmic convexity. Furthermore, using this functional, new Gauss-Steffensen's means are generated and their monotonicity property is proven.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb


Citiraj ovu publikaciju:

Krulić, Kristina; Pečarić, Josip; Smoljak, Ksenija
Gauss-Steffensen's means // Mathematica balkanica, 24 (2010), 1-2; 177-190 (podatak o recenziji nije dostupan, članak, znanstveni)
Krulić, K., Pečarić, J. & Smoljak, K. (2010) Gauss-Steffensen's means. Mathematica balkanica, 24 (1-2), 177-190.
@article{article, author = {Kruli\'{c}, Kristina and Pe\v{c}ari\'{c}, Josip and Smoljak, Ksenija}, year = {2010}, pages = {177-190}, keywords = {Steffensen inequality, Gauss inequality, monotone function, means}, journal = {Mathematica balkanica}, volume = {24}, number = {1-2}, issn = {0205-3217}, title = {Gauss-Steffensen's means}, keyword = {Steffensen inequality, Gauss inequality, monotone function, means} }
@article{article, author = {Kruli\'{c}, Kristina and Pe\v{c}ari\'{c}, Josip and Smoljak, Ksenija}, year = {2010}, pages = {177-190}, keywords = {Steffensen inequality, Gauss inequality, monotone function, means}, journal = {Mathematica balkanica}, volume = {24}, number = {1-2}, issn = {0205-3217}, title = {Gauss-Steffensen's means}, keyword = {Steffensen inequality, Gauss inequality, monotone function, means} }

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