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On a generalization of the sine function

Tomasz Szostok

Puni tekst: engleski, pdf (504 KB) str. 29-44 preuzimanja: 71* citiraj
APA 6th Edition
Szostok, T. (2003). On a generalization of the sine function. Glasnik matematički, 38 (1), 29-44. Preuzeto s https://hrcak.srce.hr/1333
MLA 8th Edition
Szostok, Tomasz. "On a generalization of the sine function." Glasnik matematički, vol. 38, br. 1, 2003, str. 29-44. https://hrcak.srce.hr/1333. Citirano 26.10.2021.
Chicago 17th Edition
Szostok, Tomasz. "On a generalization of the sine function." Glasnik matematički 38, br. 1 (2003): 29-44. https://hrcak.srce.hr/1333
Harvard
Szostok, T. (2003). 'On a generalization of the sine function', Glasnik matematički, 38(1), str. 29-44. Preuzeto s: https://hrcak.srce.hr/1333 (Datum pristupa: 26.10.2021.)
Vancouver
Szostok T. On a generalization of the sine function. Glasnik matematički [Internet]. 2003 [pristupljeno 26.10.2021.];38(1):29-44. Dostupno na: https://hrcak.srce.hr/1333
IEEE
T. Szostok, "On a generalization of the sine function", Glasnik matematički, vol.38, br. 1, str. 29-44, 2003. [Online]. Dostupno na: https://hrcak.srce.hr/1333. [Citirano: 26.10.2021.]

Sažetak
A function

s(x,y) = inf { ||x + y|| / ||x|| : }

strictly connected with Birkhoff-James orthogonality is considered. This function may be used in functional equations theory, to provide unconditional equations in place of orthogonal equations in the sense of Birkhoff-James. Moreover, we deal with another generalization of the sine function which, in particular leads to a characterization of inner product spaces.

Ključne riječi
Birkhoff-James orthogonality; functional equation; inner product space

Hrčak ID: 1333

URI
https://hrcak.srce.hr/1333

Posjeta: 251 *