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Pregled bibliografske jedinice broj: 843755

Improvements of the Hermite–Hadamard inequality on time scales


Bibi, Rabia; Pečarić, Josip; Perić, Jurica
Improvements of the Hermite–Hadamard inequality on time scales // Journal of mathematical inequalities, 9 (2015), 3; 913-934 doi:10.7153/jmi-09-75 (međunarodna recenzija, članak, znanstveni)


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Naslov
Improvements of the Hermite–Hadamard inequality on time scales

Autori
Bibi, Rabia ; Pečarić, Josip ; Perić, Jurica

Izvornik
Journal of mathematical inequalities (1846-579X) 9 (2015), 3; 913-934

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

Ključne riječi
integration ; time scale ; Hermite–Hadamard inequality ; converse Jensen’s inequality

Sažetak
In this paper we give refinements of converse Jensen’s inequality as well as of the Hermite-Hadamard inequality on time scales. We give mean value theorems and investigate logarithmic and exponential convexity of the linear functionals related to the obtained refinements. We also give several examples which illustrate possible applications for our results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Jurica Perić (autor)

Avatar Url Josip Pečarić (autor)

Citiraj ovu publikaciju:

Bibi, Rabia; Pečarić, Josip; Perić, Jurica
Improvements of the Hermite–Hadamard inequality on time scales // Journal of mathematical inequalities, 9 (2015), 3; 913-934 doi:10.7153/jmi-09-75 (međunarodna recenzija, članak, znanstveni)
Bibi, R., Pečarić, J. & Perić, J. (2015) Improvements of the Hermite–Hadamard inequality on time scales. Journal of mathematical inequalities, 9 (3), 913-934 doi:10.7153/jmi-09-75.
@article{article, author = {Bibi, Rabia and Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Jurica}, year = {2015}, pages = {913-934}, DOI = {10.7153/jmi-09-75}, keywords = {integration, time scale, Hermite–Hadamard inequality, converse Jensen’s inequality}, journal = {Journal of mathematical inequalities}, doi = {10.7153/jmi-09-75}, volume = {9}, number = {3}, issn = {1846-579X}, title = {Improvements of the Hermite–Hadamard inequality on time scales}, keyword = {integration, time scale, Hermite–Hadamard inequality, converse Jensen’s inequality} }
@article{article, author = {Bibi, Rabia and Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Jurica}, year = {2015}, pages = {913-934}, DOI = {10.7153/jmi-09-75}, keywords = {integration, time scale, Hermite–Hadamard inequality, converse Jensen’s inequality}, journal = {Journal of mathematical inequalities}, doi = {10.7153/jmi-09-75}, volume = {9}, number = {3}, issn = {1846-579X}, title = {Improvements of the Hermite–Hadamard inequality on time scales}, keyword = {integration, time scale, Hermite–Hadamard inequality, converse Jensen’s inequality} }

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


Citati:





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