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Pregled bibliografske jedinice broj: 483239

Converse Jensen-Steffensen inequality


Ivelić, Slavica; Klaričić Bakula, Milica; Pečarić, Josip
Converse Jensen-Steffensen inequality // Conference on Inequalities and Applications '10 / Gilányi, Attila ; Bessenyei, Mihály (ur.).
Deberecen: Institute of Mathematics, University of Debrecen, 2010. str. 36-36 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
Converse Jensen-Steffensen inequality

Autori
Ivelić, Slavica ; Klaričić Bakula, Milica ; Pečarić, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Conference on Inequalities and Applications '10 / Gilányi, Attila ; Bessenyei, Mihály - Deberecen : Institute of Mathematics, University of Debrecen, 2010, 36-36

Skup
Conference on Inequalities and Applications '10

Mjesto i datum
Hajdúszoboszló, Mađarska, 19.09.2010. - 25.09.2010

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Jensen-Steffensen inequality; Jensen-Mercer inequality; exponentially convex functions; log-convex functions; Cauchy type means

Sažetak
In this paper we prove a converse to the Jensen-Steffensen inequality and two inequalities complementary to the Jensen-Steffensen inequality. We apply so called exp-convex method in order to interpret our results in the form of exponentially convex functions. The outcome is a number of new interesting inequalities as well as some new Cauchy type means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Građevinarstvo



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)
083-0831529-1528 - Pronos zagađenja u podzemlju i procjena rizika kao posljedica odlaganja otpada (Andričević, Roko, MZO ) ( CroRIS)

Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split


Citiraj ovu publikaciju:

Ivelić, Slavica; Klaričić Bakula, Milica; Pečarić, Josip
Converse Jensen-Steffensen inequality // Conference on Inequalities and Applications '10 / Gilányi, Attila ; Bessenyei, Mihály (ur.).
Deberecen: Institute of Mathematics, University of Debrecen, 2010. str. 36-36 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
Ivelić, S., Klaričić Bakula, M. & Pečarić, J. (2010) Converse Jensen-Steffensen inequality. U: Gilányi, A. & Bessenyei, M. (ur.)Conference on Inequalities and Applications '10.
@article{article, author = {Iveli\'{c}, Slavica and Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip}, year = {2010}, pages = {36-36}, keywords = {Jensen-Steffensen inequality, Jensen-Mercer inequality, exponentially convex functions, log-convex functions, Cauchy type means}, title = {Converse Jensen-Steffensen inequality}, keyword = {Jensen-Steffensen inequality, Jensen-Mercer inequality, exponentially convex functions, log-convex functions, Cauchy type means}, publisher = {Institute of Mathematics, University of Debrecen}, publisherplace = {Hajd\'{u}szoboszl\'{o}, Ma\djarska} }
@article{article, author = {Iveli\'{c}, Slavica and Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip}, year = {2010}, pages = {36-36}, keywords = {Jensen-Steffensen inequality, Jensen-Mercer inequality, exponentially convex functions, log-convex functions, Cauchy type means}, title = {Converse Jensen-Steffensen inequality}, keyword = {Jensen-Steffensen inequality, Jensen-Mercer inequality, exponentially convex functions, log-convex functions, Cauchy type means}, publisher = {Institute of Mathematics, University of Debrecen}, publisherplace = {Hajd\'{u}szoboszl\'{o}, Ma\djarska} }




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