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Pregled bibliografske jedinice broj: 899084

Weighted majorization inequalities for n-convex functions via extension of Montgomery identity using Green function


Aglić Aljinović, Andrea; Khan, Asif; Pečarić, Josip
Weighted majorization inequalities for n-convex functions via extension of Montgomery identity using Green function // Arabian Journal of Mathematics, 7 (2018), 2; 77-90 doi:10.1007/s40065-017-0188-y (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 899084 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Weighted majorization inequalities for n-convex functions via extension of Montgomery identity using Green function

Autori
Aglić Aljinović, Andrea ; Khan, Asif ; Pečarić, Josip

Izvornik
Arabian Journal of Mathematics (2193-5343) 7 (2018), 2; 77-90

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

Ključne riječi
Convex functions, Montgomery identities, Čebyšev functional, Majorization

Sažetak
New identities and inequalities are given for weighted majorization theorem for n-convex functions by using extension of the Montgomery identity and Green function. Various bounds for the reminders in new generalizations of weighted majorization formulae are provided by using Čebyšev type inequalities. Mean value theorems are also discussed for functional related to new results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Aglić Aljinović, Andrea; Khan, Asif; Pečarić, Josip
Weighted majorization inequalities for n-convex functions via extension of Montgomery identity using Green function // Arabian Journal of Mathematics, 7 (2018), 2; 77-90 doi:10.1007/s40065-017-0188-y (međunarodna recenzija, članak, znanstveni)
Aglić Aljinović, A., Khan, A. & Pečarić, J. (2018) Weighted majorization inequalities for n-convex functions via extension of Montgomery identity using Green function. Arabian Journal of Mathematics, 7 (2), 77-90 doi:10.1007/s40065-017-0188-y.
@article{article, author = {Agli\'{c} Aljinovi\'{c}, Andrea and Khan, Asif and Pe\v{c}ari\'{c}, Josip}, year = {2018}, pages = {77-90}, DOI = {10.1007/s40065-017-0188-y}, keywords = {Convex functions, Montgomery identities, \v{C}eby\v{s}ev functional, Majorization}, journal = {Arabian Journal of Mathematics}, doi = {10.1007/s40065-017-0188-y}, volume = {7}, number = {2}, issn = {2193-5343}, title = {Weighted majorization inequalities for n-convex functions via extension of Montgomery identity using Green function}, keyword = {Convex functions, Montgomery identities, \v{C}eby\v{s}ev functional, Majorization} }
@article{article, author = {Agli\'{c} Aljinovi\'{c}, Andrea and Khan, Asif and Pe\v{c}ari\'{c}, Josip}, year = {2018}, pages = {77-90}, DOI = {10.1007/s40065-017-0188-y}, keywords = {Convex functions, Montgomery identities, \v{C}eby\v{s}ev functional, Majorization}, journal = {Arabian Journal of Mathematics}, doi = {10.1007/s40065-017-0188-y}, volume = {7}, number = {2}, issn = {2193-5343}, title = {Weighted majorization inequalities for n-convex functions via extension of Montgomery identity using Green function}, keyword = {Convex functions, Montgomery identities, \v{C}eby\v{s}ev functional, Majorization} }

Časopis indeksira:


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


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





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