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Pregled bibliografske jedinice broj: 628362

Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality


Pečarić, Josip; Smoljak, Ksenija
Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality // Acta mathematica Vietnamica, 39 (2014), 3; 347-358 (međunarodna recenzija, članak, znanstveni)


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Naslov
Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality

Autori
Pečarić, Josip ; Smoljak, Ksenija

Izvornik
Acta mathematica Vietnamica (0251-4184) 39 (2014), 3; 347-358

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

Ključne riječi
Steffensen inequality; Gauss inequality; monotone function; Stolarsky-type means; exponential convexity

Sažetak
In this paper, functionals defined as the difference between the left-hand and the right-hand sides of generalizations of Steffensen’s and Gauss’ inequality are studied. n-exponential and exponential as well as logarithmic convex functions related to defined functionals are produced. Furthermore, several families of exponentially convex functions are investigated, and new Stolarsky-type means related to defined functionals are generated.

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:

Pečarić, Josip; Smoljak, Ksenija
Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality // Acta mathematica Vietnamica, 39 (2014), 3; 347-358 (međunarodna recenzija, članak, znanstveni)
Pečarić, J. & Smoljak, K. (2014) Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality. Acta mathematica Vietnamica, 39 (3), 347-358.
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Smoljak, Ksenija}, year = {2014}, pages = {347-358}, keywords = {Steffensen inequality, Gauss inequality, monotone function, Stolarsky-type means, exponential convexity}, journal = {Acta mathematica Vietnamica}, volume = {39}, number = {3}, issn = {0251-4184}, title = {Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality}, keyword = {Steffensen inequality, Gauss inequality, monotone function, Stolarsky-type means, exponential convexity} }
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Smoljak, Ksenija}, year = {2014}, pages = {347-358}, keywords = {Steffensen inequality, Gauss inequality, monotone function, Stolarsky-type means, exponential convexity}, journal = {Acta mathematica Vietnamica}, volume = {39}, number = {3}, issn = {0251-4184}, title = {Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality}, keyword = {Steffensen inequality, Gauss inequality, monotone function, Stolarsky-type means, exponential convexity} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet





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