LAUSR

Alienation of the Quadratic And Additive Functional Equations

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1 Published in 2019 at "Analysis Mathematica"

DOI: 10.1007/s10476-019-0869-1

Abstract: Let G, H be uniquely 2-divisible Abelian groups. We study the solutions f, g: G → H of Pexider type functional equation (*)$$f(x+y)+f(x-y)+g(x+y)=2f(x)+2f(y)+g(x)+g(y),$$f(x+y)+f(x−y)+g(x+y)=2f(x)+2f(y)+g(x)+g(y), resulting from summing up the well known quadratic functional equation and additive… read more here.

Keywords: quadratic additive; alienation quadratic; additive functional; equation ... See more keywords

Asymptotic behavior for an additive functional of two independent self-similar Gaussian processes

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0 Published in 2019 at "Stochastic Processes and their Applications"

DOI: 10.1016/j.spa.2018.11.009

Abstract: We derive the asymptotic behavior for an additive functional of two independent self-similar Gaussian processes when their intersection local time exists, using the method of moments. read more here.

Keywords: independent self; additive functional; asymptotic behavior; behavior additive ... See more keywords

Additive s-functional inequalities and partial multipliers in Banach algebras

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0 Published in 2019 at "Journal of Mathematical Inequalities"

DOI: 10.7153/jmi-2019-13-60

Abstract: In this paper, we solve the additive s -functional inequalities ‖ f (x+ y− z)− f (x)− f (y)+ f (z)‖ ‖s( f (x− y)+ f (y− z)− f (x− z))‖, (0.1) where s is… read more here.

Keywords: banach algebras; functional inequalities; partial multipliers; inequalities partial ... See more keywords