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Pregled bibliografske jedinice broj: 924360

Generalizations of Steffensen's inequality via the extension of Montgomery identity


Aglić Aljinović, Andrea; Pečarić, Josip; Perušić Pribanić, Anamarija
Generalizations of Steffensen's inequality via the extension of Montgomery identity // Open Mathematics, 2018 (2018), 16; 420-428 doi:10.1515/math-2018-0039 (međunarodna recenzija, članak, znanstveni)


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Naslov
Generalizations of Steffensen's inequality via the extension of Montgomery identity

Autori
Aglić Aljinović, Andrea ; Pečarić, Josip ; Perušić Pribanić, Anamarija

Izvornik
Open Mathematics (2391-5455) 2018 (2018), 16; 420-428

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

Ključne riječi
Steffensen's inequality, n-convex functions, Montgomery identity, Ostrowski-type inequality, Grüss-type inequality

Sažetak
In this paper, we obtained new generalizations of Steffensen's inequality for n-convex functions by using extension of Montgomery identity via Taylor's formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen's inequality. Related Ostrowski type inequalities are also provided. Bounds for the reminders in new identities are given by using the Chebyshev and Grüss type inequalities.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Rad/casopis je indweksiran i u slijedećim bazama: POL-index ; Primo Central ; ProQuest ; Publons ; ReadCube ; Referativnyi Zhurnal ; SCImago (SJR) ; Sherpa/RoMEO ; Summon ; TDNet ; Ulrich's Periodicals Directory/ulrichsweb ; WanFang Data ; WorldCat.



POVEZANOST RADA


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

Poveznice na cjeloviti tekst rada:

doi www.degruyter.com

Citiraj ovu publikaciju:

Aglić Aljinović, Andrea; Pečarić, Josip; Perušić Pribanić, Anamarija
Generalizations of Steffensen's inequality via the extension of Montgomery identity // Open Mathematics, 2018 (2018), 16; 420-428 doi:10.1515/math-2018-0039 (međunarodna recenzija, članak, znanstveni)
Aglić Aljinović, A., Pečarić, J. & Perušić Pribanić, A. (2018) Generalizations of Steffensen's inequality via the extension of Montgomery identity. Open Mathematics, 2018 (16), 420-428 doi:10.1515/math-2018-0039.
@article{article, author = {Agli\'{c} Aljinovi\'{c}, Andrea and Pe\v{c}ari\'{c}, Josip and Peru\v{s}i\'{c} Pribani\'{c}, Anamarija}, year = {2018}, pages = {420-428}, DOI = {10.1515/math-2018-0039}, keywords = {Steffensen's inequality, n-convex functions, Montgomery identity, Ostrowski-type inequality, Gr\"{u}ss-type inequality}, journal = {Open Mathematics}, doi = {10.1515/math-2018-0039}, volume = {2018}, number = {16}, issn = {2391-5455}, title = {Generalizations of Steffensen's inequality via the extension of Montgomery identity}, keyword = {Steffensen's inequality, n-convex functions, Montgomery identity, Ostrowski-type inequality, Gr\"{u}ss-type inequality} }
@article{article, author = {Agli\'{c} Aljinovi\'{c}, Andrea and Pe\v{c}ari\'{c}, Josip and Peru\v{s}i\'{c} Pribani\'{c}, Anamarija}, year = {2018}, pages = {420-428}, DOI = {10.1515/math-2018-0039}, keywords = {Steffensen's inequality, n-convex functions, Montgomery identity, Ostrowski-type inequality, Gr\"{u}ss-type inequality}, journal = {Open Mathematics}, doi = {10.1515/math-2018-0039}, volume = {2018}, number = {16}, issn = {2391-5455}, title = {Generalizations of Steffensen's inequality via the extension of Montgomery identity}, keyword = {Steffensen's inequality, n-convex functions, Montgomery identity, Ostrowski-type inequality, Gr\"{u}ss-type 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


Uključenost u ostale bibliografske baze podataka::


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