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Pregled bibliografske jedinice broj: 914032

Generalization of Majorization theorem via Taylor’s formula


Butt, Saad Ihsan; Kvesić, Ljiljanka; Pečarić, Josip
Generalization of Majorization theorem via Taylor’s formula // Mathematical inequalities & applications, 19 (2016), 4; 1257-1269 (podatak o recenziji nije dostupan, članak, znanstveni)


CROSBI ID: 914032 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Generalization of Majorization theorem via Taylor’s formula

Autori
Butt, Saad Ihsan ; Kvesić, Ljiljanka ; Pečarić, Josip

Izvornik
Mathematical inequalities & applications (1331-4343) 19 (2016), 4; 1257-1269

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

Ključne riječi
convex function ; divided difference ; Taylor’s formula ; Čebyšev functional ; Gruss inequality ; Ostrowski inequality ; exponential convexity

Sažetak
We give generalization of majorization theorem for the class of n-convex functions by using Taylor’s formula. We use inequalities for the Čebyšev functional to obtain bounds for the identities related to generalizations of majorization inequalities. We present mean value theorems and n−exponential convexity for the functional obtained from the generalized majorization inequalities. At the end we discuss the results for particular families of function and give means

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ 5435

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Josip Pečarić (autor)


Citiraj ovu publikaciju:

Butt, Saad Ihsan; Kvesić, Ljiljanka; Pečarić, Josip
Generalization of Majorization theorem via Taylor’s formula // Mathematical inequalities & applications, 19 (2016), 4; 1257-1269 (podatak o recenziji nije dostupan, članak, znanstveni)
Butt, S., Kvesić, L. & Pečarić, J. (2016) Generalization of Majorization theorem via Taylor’s formula. Mathematical inequalities & applications, 19 (4), 1257-1269.
@article{article, author = {Butt, Saad Ihsan and Kvesi\'{c}, Ljiljanka and Pe\v{c}ari\'{c}, Josip}, year = {2016}, pages = {1257-1269}, keywords = {convex function, divided difference, Taylor’s formula, \v{C}eby\v{s}ev functional, Gruss inequality, Ostrowski inequality, exponential convexity}, journal = {Mathematical inequalities and applications}, volume = {19}, number = {4}, issn = {1331-4343}, title = {Generalization of Majorization theorem via Taylor’s formula}, keyword = {convex function, divided difference, Taylor’s formula, \v{C}eby\v{s}ev functional, Gruss inequality, Ostrowski inequality, exponential convexity} }
@article{article, author = {Butt, Saad Ihsan and Kvesi\'{c}, Ljiljanka and Pe\v{c}ari\'{c}, Josip}, year = {2016}, pages = {1257-1269}, keywords = {convex function, divided difference, Taylor’s formula, \v{C}eby\v{s}ev functional, Gruss inequality, Ostrowski inequality, exponential convexity}, journal = {Mathematical inequalities and applications}, volume = {19}, number = {4}, issn = {1331-4343}, title = {Generalization of Majorization theorem via Taylor’s formula}, keyword = {convex function, divided difference, Taylor’s formula, \v{C}eby\v{s}ev functional, Gruss inequality, Ostrowski inequality, exponential convexity} }

Časopis indeksira:


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





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