Pregled bibliografske jedinice broj: 924360
Generalizations of Steffensen's inequality via the extension of Montgomery identity
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
Citiraj ovu publikaciju:
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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