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Pregled bibliografske jedinice broj: 651077

Hardy–Littlewood–Pólya-type theorems for invex functions


Niezgoda, Marek; Pečarić, Josip
Hardy–Littlewood–Pólya-type theorems for invex functions // Computers & mathematics with applications, 64 (2012), 4; 518-526 doi:10.1016/j.camwa.2011.12.039 (međunarodna recenzija, članak, znanstveni)


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Naslov
Hardy–Littlewood–Pólya-type theorems for invex functions

Autori
Niezgoda, Marek ; Pečarić, Josip

Izvornik
Computers & mathematics with applications (0898-1221) 64 (2012), 4; 518-526

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

Ključne riječi
convex functions; invex functions; majorization; relative invexity

Sažetak
In this paper, the Hardy–Littlewood–Pólya theorem on majorization is extended from convex functions to invex ones. Some variants for pseudo-invex and quasi-invex functions are also considered. The framework used is that of similarly separable vectors. The results obtained are illustrated for monotonic, monotonic in mean, and star-shaped vectors, respectively. Applications to relative invexity are given.

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

Profili:

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Niezgoda, Marek; Pečarić, Josip
Hardy–Littlewood–Pólya-type theorems for invex functions // Computers & mathematics with applications, 64 (2012), 4; 518-526 doi:10.1016/j.camwa.2011.12.039 (međunarodna recenzija, članak, znanstveni)
Niezgoda, M. & Pečarić, J. (2012) Hardy–Littlewood–Pólya-type theorems for invex functions. Computers & mathematics with applications, 64 (4), 518-526 doi:10.1016/j.camwa.2011.12.039.
@article{article, author = {Niezgoda, Marek and Pe\v{c}ari\'{c}, Josip}, year = {2012}, pages = {518-526}, DOI = {10.1016/j.camwa.2011.12.039}, keywords = {convex functions, invex functions, majorization, relative invexity}, journal = {Computers and mathematics with applications}, doi = {10.1016/j.camwa.2011.12.039}, volume = {64}, number = {4}, issn = {0898-1221}, title = {Hardy–Littlewood–P\'{o}lya-type theorems for invex functions}, keyword = {convex functions, invex functions, majorization, relative invexity} }
@article{article, author = {Niezgoda, Marek and Pe\v{c}ari\'{c}, Josip}, year = {2012}, pages = {518-526}, DOI = {10.1016/j.camwa.2011.12.039}, keywords = {convex functions, invex functions, majorization, relative invexity}, journal = {Computers and mathematics with applications}, doi = {10.1016/j.camwa.2011.12.039}, volume = {64}, number = {4}, issn = {0898-1221}, title = {Hardy–Littlewood–P\'{o}lya-type theorems for invex functions}, keyword = {convex functions, invex functions, majorization, relative invexity} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





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