Convexity properties of generalized trigonometric and hyperbolic functions

Verfasser / Beitragende:
[Árpád Baricz, Barkat Bhayo, Riku Klén]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/3(2015-06-01), 473-484
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00010-013-0222-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00010-013-0222-x 
245 0 0 |a Convexity properties of generalized trigonometric and hyperbolic functions  |h [Elektronische Daten]  |c [Árpád Baricz, Barkat Bhayo, Riku Klén] 
520 3 |a We study the power mean inequality for generalized trigonometric and hyperbolic functions with two parameters. The generalized p-trigonometric and (p, q)-trigonometric functions were introduced by Lindqvist and Takeuchi, respectively. 
540 |a Springer Basel, 2013 
690 7 |a Power mean  |2 nationallicence 
690 7 |a eigenfunctions of p -Laplacian  |2 nationallicence 
690 7 |a generalized trigonometric functions  |2 nationallicence 
690 7 |a generalized inverse trigonometric functions  |2 nationallicence 
690 7 |a convexity with respect to power means  |2 nationallicence 
690 7 |a geometrical convexity  |2 nationallicence 
700 1 |a Baricz  |D Árpád  |u Department of Economics, Babeş-Bolyai University, 400591, Cluj-Napoca, Romania  |4 aut 
700 1 |a Bhayo  |D Barkat  |u Department of Mathematical Information Technology, University of Jyväskylä, 40014, Jyväskylä, Finland  |4 aut 
700 1 |a Klén  |D Riku  |u Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland  |4 aut 
773 0 |t Aequationes mathematicae  |d Springer Basel  |g 89/3(2015-06-01), 473-484  |x 0001-9054  |q 89:3<473  |1 2015  |2 89  |o 10 
856 4 0 |u https://doi.org/10.1007/s00010-013-0222-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00010-013-0222-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Baricz  |D Árpád  |u Department of Economics, Babeş-Bolyai University, 400591, Cluj-Napoca, Romania  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bhayo  |D Barkat  |u Department of Mathematical Information Technology, University of Jyväskylä, 40014, Jyväskylä, Finland  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Klén  |D Riku  |u Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Aequationes mathematicae  |d Springer Basel  |g 89/3(2015-06-01), 473-484  |x 0001-9054  |q 89:3<473  |1 2015  |2 89  |o 10