Stability problem for the Gołab–Schinzel type functional equations Page 1 J. Math. Anal. Appl.
339 (2008) 454–460 www.elsevier.com/locate/jmaa Stability problem for the Gołab–Schinzel …

Let \BbbK be either the field of reals or the field of complex numbers, X be an F-space (ie a
Fréchet space) over \BbbK n be a positive integer, and f:X→\BbbK be a solution of the …

On the stability of a pexiderized Goł a ̧ b–Schinzel equation - ScienceDirect Skip to main
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We determine all unbounded continuous solutions f: R→ R of the inequality| f (x+ f (x) ky)-λ f
(x) f (y)|≦ &, where k is a positive integer, λ is a real number and & is a non-negative real …

We introduce general regular variation, a theory of regular variation containing the existing
Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases. The unifying …

This is the second of three sequels to (Ostaszewski in Aequat Math 90: 427–448, 2016)—the
third of the resulting quartet—concerning the real-valued continuous solutions of the …

The class of 'self-neglecting'functions at the heart of Beurling slow variation is expanded by
permitting a positive asymptotic limit function λ (t), in place of the usual limit 1, necessarily …

The Cauchy functional equation is not only the most important single functional equation, it
is also central to regular variation. Classical Karamata regular variation involves a functional …

Continuous on rays solutions of an equation of the Goła̧b–Schinzel type Page 1 J. Math. Anal.
Appl. 375 (2011) 223–229 Contents lists available at ScienceDirect Journal of Mathematical …

Let X be a linear space over a commutative field K. Under some additional assumptions we
determine a description of the general solution of the equation $$ f (x+ M (f (x)) y)= f (x)\circ f …