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Volumn 62, Issue 3-4, 2003, Pages 363-377

On functional equations involving means

Author keywords

Functional equation; Matkowski Sut problem; Stolarsky means; Weighted quasi arithmetic mean

Indexed keywords


EID: 0038585088     PISSN: 00333883     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (14)
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  • 2
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    • Extension theorems for the Matkowski-Sutô problem
    • Z. DARÓCZY, GY. MAKSA and ZS. PÁLES, Extension theorems for the Matkowski-Sutô problem, Demonstratio Math. 33 (2000), 547-556.
    • (2000) Demonstratio Math. , vol.33 , pp. 547-556
    • Daróczy, Z.1    Maksa, Gy.2    Páles, Zs.3
  • 3
    • 0036376868 scopus 로고    scopus 로고
    • Gauss-type composition of means and the solution of the Matkowski-Sutô problem
    • Z. DARÓCZY and ZS. PÁLES, Gauss-type composition of means and the solution of the Matkowski-Sutô problem, Publ. Math. Debrecen 61 (2002), 157-218.
    • (2002) Publ. Math. Debrecen , vol.61 , pp. 157-218
    • Daróczy, Z.1    Páles, Zs.2
  • 4
    • 0001702462 scopus 로고    scopus 로고
    • On means that are both quasi-arithmetic and conjugate arithmetic
    • Z. DARÓCZY and ZS. PÁLES, On means that are both quasi-arithmetic and conjugate arithmetic, Acta Math. Hungar. 90 (2001), 271-282.
    • (2001) Acta Math. Hungar. , vol.90 , pp. 271-282
    • Daróczy, Z.1    Páles, Zs.2
  • 5
    • 85159531471 scopus 로고    scopus 로고
    • The Matkowski-Sutô problem for weighted quasi-arithmetic means
    • submitted
    • Z. DARÓCZY and ZS. PÁLES, The Matkowski-Sutô problem for weighted quasi-arithmetic means, Acta Math. Hungar. (submitted).
    • Acta Math. Hungar.
    • Daróczy, Z.1    Páles, Zs.2
  • 7
    • 0003066718 scopus 로고    scopus 로고
    • Invariant and complementary quasi-arithmetic means
    • J. MATKOWSKI, Invariant and complementary quasi-arithmetic means, Aequationes Math. 57 (1999), 87-107.
    • (1999) Aequationes Math. , vol.57 , pp. 87-107
    • Matkowski, J.1
  • 8
    • 0036455680 scopus 로고    scopus 로고
    • Arithmetic means as a linear combination of two quasi-arithmetic means
    • D. GŁAZOWSKA, W. JARCZYK and J. MATKOWSKI, Arithmetic means as a linear combination of two quasi-arithmetic means, Publ. Math. Debrecen 61 (2002), 455-467.
    • (2002) Publ. Math. Debrecen , vol.61 , pp. 455-467
    • Głazowska, D.1    Jarczyk, W.2    Matkowski, J.3
  • 9
    • 0001122213 scopus 로고
    • Inequalities for differences of powers
    • ZS. PÁLES, Inequalities for differences of powers, J. Math. Anal. Appl 131 (1988), 271-281.
    • (1988) J. Math. Anal. Appl , vol.131 , pp. 271-281
    • Páles, Zs.1
  • 10
    • 0000639411 scopus 로고    scopus 로고
    • Nonconvex functions and separation by power means
    • ZS. PÁLES, Nonconvex functions and separation by power means, Math. Ineq. Appl. 3 (2000), 169-176.
    • (2000) Math. Ineq. Appl. , vol.3 , pp. 169-176
    • Páles, Zs.1
  • 11
    • 0002603040 scopus 로고
    • Generalizations of the logarithmic mean
    • K. B. STOLARSKY, Generalizations of the logarithmic mean, Math. Mag. 48 (1975), 87-92.
    • (1975) Math. Mag. , vol.48 , pp. 87-92
    • Stolarsky, K.B.1
  • 12
    • 0000016560 scopus 로고
    • The power and generalized logarithmic means
    • K. B. STOLARSKY, The power and generalized logarithmic means, Amer. Math. Monthly 87 (1980), 545-548.
    • (1980) Amer. Math. Monthly , vol.87 , pp. 545-548
    • Stolarsky, K.B.1
  • 13
    • 0002498539 scopus 로고
    • Studies on some functional equations I
    • O. SUTÔ, Studies on some functional equations I, Tôhoku Math. J. 6 (1914), 1-15.
    • (1914) Tôhoku Math. J. , vol.6 , pp. 1-15
    • Sutô, O.1
  • 14
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    • Studies on some functional equations II
    • O. SUTÔ, Studies on some functional equations II, Tôhoku Math. J. 6 (1914), 82-101.
    • (1914) Tôhoku Math. J. , vol.6 , pp. 82-101
    • Sutô, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.