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Article

Najati, Abbas ; Rassias, Themistocles M.
Pexider type operators and their norms in $X_{\lambda }$ spaces. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 4, pp. 1087-1094
MSC: 39B52, 46L05, 47B48 | MR 2563579 | Zbl 1224.39037
Keywords:
Pexiderized generalized operator; Pexiderized generalized Jensen operator
Summary:
In this paper, we introduce Pexiderized generalized operators on certain special spaces introduced by Bielecki-Czerwik and investigate their norms.
References:
[1] Czerwik, S.: Functional Equations and Inequalities in Several Variables. World Scientific Publishing Co., Inc., River Edge, NJ (2002). MR 1904790 | Zbl 1011.39019
[2] Czerwik, S., Dlutek, K.: Cauchy and Pexider operators in some function spaces. Functional equations, inequalities and applications, 11-19, Kluwer Acad. Publ., Dordrecht (2003). MR 2042554 | Zbl 1059.39012
[3] Jung, S.-M.: Cubic operator norm on $X_\lambda$ space. Bull. Korean Math. Soc. 44 (2007), 309-313. DOI 10.4134/BKMS.2007.44.2.309 | MR 2325032 | Zbl 1144.47301
[4] Moslehian, M. S., Riedel, T., Saadatpour, A.: Norms of operators in $X_\lambda$ spaces. Appl. Math. Lett. 20 (2007), 1082-1087. DOI 10.1016/j.aml.2006.11.009 | MR 2344785 | Zbl 1139.39039
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