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Pregled bibliografske jedinice broj: 626462

Mercer and Wu-Srivastava generalizations of Steffensen's inequality

Pečarić, Josip; Perušić, Anamarija; Smoljak, Ksenija
Mercer and Wu-Srivastava generalizations of Steffensen's inequality // Applied mathematics and computation, 219 (2013), 21; 10548-10558 doi:10.1016/j.amc.2013.04.02 (međunarodna recenzija, članak, znanstveni)

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Naslov
Mercer and Wu-Srivastava generalizations of Steffensen's inequality

Autori
Pečarić, Josip ; Perušić, Anamarija ; Smoljak, Ksenija

Izvornik
Applied mathematics and computation (0096-3003) 219 (2013), 21; 10548-10558

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

Ključne riječi
Steffensen inequality; monotonic functions; weaker conditions; exponential convexity; Stolarsky type means

Sažetak
In this paper generalizations of Steffensen's inequality obtained by Pecaric, Mercer and Wu-Srivastava are related. Some of this generalizations are showed to be equivalent and using Wu-Srivastava refinement of Steffensen's inequality refined versions of Pecaric and Mercer's results are obtained. Using Wu-Srivastava sharpened and generalized version of Mercer's result sharpened version of generalization given by Pecaric is obtained. Furthermore, weaker conditions for some generalizations and refinements are obtained. Moreover, functionals defined as the difference between the left-hand and the right-hand side of generalizations and refinements of Steffensen's inequality are studied. New Stolarsky type means, using several families of exponentially convex functions, 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:
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Ksenija Smoljak Kalamir (autor)

Avatar Url Josip Pečarić (autor)

Avatar Url Anamarija Perušić Pribanić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com ac.els-cdn.com dx.doi.org

Citiraj ovu publikaciju:

Pečarić, Josip; Perušić, Anamarija; Smoljak, Ksenija
Mercer and Wu-Srivastava generalizations of Steffensen's inequality // Applied mathematics and computation, 219 (2013), 21; 10548-10558 doi:10.1016/j.amc.2013.04.02 (međunarodna recenzija, članak, znanstveni)
Pečarić, J., Perušić, A. & Smoljak, K. (2013) Mercer and Wu-Srivastava generalizations of Steffensen's inequality. Applied mathematics and computation, 219 (21), 10548-10558 doi:10.1016/j.amc.2013.04.02.
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Peru\v{s}i\'{c}, Anamarija and Smoljak, Ksenija}, year = {2013}, pages = {10548-10558}, DOI = {10.1016/j.amc.2013.04.02}, keywords = {Steffensen inequality, monotonic functions, weaker conditions, exponential convexity, Stolarsky type means}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2013.04.02}, volume = {219}, number = {21}, issn = {0096-3003}, title = {Mercer and Wu-Srivastava generalizations of Steffensen's inequality}, keyword = {Steffensen inequality, monotonic functions, weaker conditions, exponential convexity, Stolarsky type means} }
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Peru\v{s}i\'{c}, Anamarija and Smoljak, Ksenija}, year = {2013}, pages = {10548-10558}, DOI = {10.1016/j.amc.2013.04.02}, keywords = {Steffensen inequality, monotonic functions, weaker conditions, exponential convexity, Stolarsky type means}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2013.04.02}, volume = {219}, number = {21}, issn = {0096-3003}, title = {Mercer and Wu-Srivastava generalizations of Steffensen's inequality}, keyword = {Steffensen inequality, monotonic functions, weaker conditions, exponential convexity, Stolarsky type means} }

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

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  • MathSciNet

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