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Boundedness properties for functional inequalities. (English) Zbl 0493.39006


MSC:

39B72 Systems of functional equations and inequalities
26A51 Convexity of real functions in one variable, generalizations

References:

[1] GER,R.: Some remarks on convex functions. Fund.Math.66. 255-262(1970) · Zbl 0192.41101
[2] GUERRAGGIO,A., PAGANONI,L.: Su una classe di funzioni convesse. Riv.Mat.Univ.Parma.4. 239-245(1978) · Zbl 0414.52002
[3] HILLE,E., PHILLIPS,R.S.: Functional analysis and semigroups Amer.Math.Soc.Coll.Publ.Vol.31.Providence,Rhode Island. Amer.Math.Soc.1957.Revised edition 1974 · Zbl 0078.10004
[4] KUCZMA,M.: Convex functions. In: Functional equations and inequalities.195-213.Volumes on C.I.M.E.Sessions. Rom.Cremonese 1971
[5] KURATOWSKI,K.: Topology.Vol.1. New York-London-Warszawa. Academic Press and PWN. 1966. · Zbl 0158.40901
[6] MEHDI,M.R.: On convex functions.J.London Math.Soc.39. 321-326(1964) · Zbl 0125.06304 · doi:10.1112/jlms/s1-39.1.321
[7] SANDER,W.: Verallgemeinerungen eines Satzes von S.Piccard. Manuscripta Math.16.11-25(1975) · Zbl 0312.54018 · doi:10.1007/BF01169060
[8] SANDER,W.: Regularitätseigenschaften von Funktionalungleichungen. Glasnik Mat.13(33).237-247(1978) · Zbl 0424.39003
[9] SIKORSKI,R.: Advanced calculus.Functions of several variables. Monografie Matematyczne.Vol.51.PWN 1969 · Zbl 0182.37901
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