The stability of the Dhombres-type trigonometric functional equation

• Autorzy: Tyrala I.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we deal with the Dhombres-type trigonometric difference f(x + y 2 )2 – f(x − y 2)2 + f(x + y) + f(x − y) − f(x) [f(y) + g(y)], assuming that its absolute value is majorized by some constant. Our aim is to find functions and which satisfy the Dhombres-type trigonometric functional equation and for which the differences f - f and g - g are uniformly bounded.

Słowa kluczowe

EN

trigonometry; trigonometric equation; functional equation; functions

PL

trygonometria; równanie trygonometryczne; równanie funkcjonalne; funkcje

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2012
• Tom: Vol. 17
• Strony: 87--96
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Tyrala I.

• Jan Długosz University Institute of Mathematics and Computer Science 42-200 Częstochowa, Al. Armii Krajowej 13/15, Poland

Bibliografia

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