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Pregled bibliografske jedinice broj: 804009

Refinements of the majorization theorems via Fink identity and related results


Khalid, S; Pečarić, J; Vukelić, A
Refinements of the majorization theorems via Fink identity and related results // Journal of classical analysis, 7 (2015), 2; 129-154 doi::10.7153/jca-07-12 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
Refinements of the majorization theorems via Fink identity and related results

Autori
Khalid, S ; Pečarić, J ; Vukelić, A

Izvornik
Journal of classical analysis (1848-5979) 7 (2015), 2; 129-154

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

Ključne riječi
Logarithmic convexity; divided difference; n-convex function; majorization; Fink’s identity; Čebyšev functional; Gruss-type inequality; Ostrowski-type inequality; exponential convexity.
(Logarithmic convexity; divided difference; n-convex function; majorization; Fink’s identity; Čebyšev functional; Gruss-type inequality; Ostrowski-type inequality; exponential convexity)

Sažetak
The well known majorization theorem (see [5, p. 11] and [7, p. 320] ) plays an important role in our paper. By using A. M. Fink’s identity in the majorization difference, we obtain an interesting identity and with the help of this useful identity, we obtain many significant results. We investigate the bounds for this identity, by using Gr\" uss-type inequalities and we also present some results relating to the Ostrowski-type inequality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Ana Vukelić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Khalid, S; Pečarić, J; Vukelić, A
Refinements of the majorization theorems via Fink identity and related results // Journal of classical analysis, 7 (2015), 2; 129-154 doi::10.7153/jca-07-12 (podatak o recenziji nije dostupan, članak, znanstveni)
Khalid, S., Pečarić, J. & Vukelić, A. (2015) Refinements of the majorization theorems via Fink identity and related results. Journal of classical analysis, 7 (2), 129-154 doi::10.7153/jca-07-12.
@article{article, author = {Khalid, S and Pe\v{c}ari\'{c}, J and Vukeli\'{c}, A}, year = {2015}, pages = {129-154}, DOI = {doi:10.7153/jca-07-12}, keywords = {Logarithmic convexity, divided difference, n-convex function, majorization, Fink’s identity, \v{C}eby\v{s}ev functional, Gruss-type inequality, Ostrowski-type inequality, exponential convexity.}, journal = {Journal of classical analysis}, doi = {doi:10.7153/jca-07-12}, volume = {7}, number = {2}, issn = {1848-5979}, title = {Refinements of the majorization theorems via Fink identity and related results}, keyword = {Logarithmic convexity, divided difference, n-convex function, majorization, Fink’s identity, \v{C}eby\v{s}ev functional, Gruss-type inequality, Ostrowski-type inequality, exponential convexity.} }
@article{article, author = {Khalid, S and Pe\v{c}ari\'{c}, J and Vukeli\'{c}, A}, year = {2015}, pages = {129-154}, DOI = {doi:10.7153/jca-07-12}, keywords = {Logarithmic convexity, divided difference, n-convex function, majorization, Fink’s identity, \v{C}eby\v{s}ev functional, Gruss-type inequality, Ostrowski-type inequality, exponential convexity}, journal = {Journal of classical analysis}, doi = {doi:10.7153/jca-07-12}, volume = {7}, number = {2}, issn = {1848-5979}, title = {Refinements of the majorization theorems via Fink identity and related results}, keyword = {Logarithmic convexity, divided difference, n-convex function, majorization, Fink’s identity, \v{C}eby\v{s}ev functional, Gruss-type inequality, Ostrowski-type inequality, exponential convexity} }

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