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Volumn 29, Issue 1, 2004, Pages 229-246

Convex functions with respect to A mean and A characterization of Quasi-Arithmetic means

Author keywords

Differential equation, iteration group; Homogeneous function; M affine function; M convex function; Mean; Power mean; Quasi arithmetic mean

Indexed keywords


EID: 34447553240     PISSN: 01471937     EISSN: 19301219     Source Type: Journal    
DOI: 10.14321/realanalexch.29.1.0229     Document Type: Article
Times cited : (15)

References (14)
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    • G. Aumann, Konvexe Funktionen und Induktion bei Ungleichungen zwischen Mittelverten, S.-B. math.-naturw. Abt. Bayer. Akad. Wiss. München, (1933), 405-413
    • (1933) S.-B. math.-naturw. Abt. Bayer. Akad. Wiss. München , pp. 405-413
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  • 6
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    • Geometrical convexity and generalization of the Bohr-Mollerup theorem on the Gamma function
    • D. Gronau, J. Matkowski, Geometrical convexity and generalization of the Bohr-Mollerup theorem on the Gamma function, Math. Pannonica, 4/2 (1993), 153-160
    • (1993) Math. Pannonica , vol.4 , Issue.2 , pp. 153-160
    • Gronau, D.1    Matkowski, J.2
  • 7
    • 34548057444 scopus 로고
    • Geometrically convex solutions of certain difference equation and generalized Bohr-Mollerup type theorems
    • D. Gronau and J. Matkowski, Geometrically convex solutions of certain difference equation and generalized Bohr-Mollerup type theorems, Results in Math., 26 (1994), 290-297
    • (1994) Results in Math , vol.26 , pp. 290-297
    • Gronau, D.1    Matkowski, J.2
  • 9
    • 0011238672 scopus 로고
    • Lp-like paranor. in Selected Topics in Functional Equations and Iteration Theory
    • October 24-26, 1991, edited by D. Gronau and L. Reich, Grazer Math. Ber
    • J. Matkowski, Lp-like paranorms, in Selected Topics in Functional Equations and Iteration Theory, Proceedings of the Austrian-Polish Seminar, Universität Graz, October 24-26, 1991, edited by D. Gronau and L. Reich, Grazer Math. Ber., 316 (1992), 103-139
    • (1992) Proceedings of the Austrian-Polish Seminar, Universität Graz , vol.316 , pp. 103-139
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  • 10
    • 0345736511 scopus 로고    scopus 로고
    • Continuous solutions of a functional equation
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    • (1998) Publicationes Math. Debrecen , vol.52 , pp. 559-562
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  • 11
    • 78549255980 scopus 로고    scopus 로고
    • Affine functions with respect to the logarithmic mean
    • J. Matkowski, Affine functions with respect to the logarithmic mean, Colloq. Math., 95 (2003), 217-230
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  • 12
    • 0242380408 scopus 로고    scopus 로고
    • Convexity of power functions with respect to symmetric homogeneous means
    • J. Matkowski, J. Rätz, Convexity of power functions with respect to symmetric homogeneous means, Internat. Ser. Num. Math., 123 (1997), 231-247
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    • Matkowski, J.1    Rätz, J.2
  • 13
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    • Convex functions with respect to an arbitrary mean
    • J. Matkowski, J. Rätz, Convex functions with respect to an arbitrary mean, Internat. Ser. Num. Math., 123 (1997), 249-259
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    • Matkowski, J.1    Rätz, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.