Superstability of a multidimensional pexiderized cosine functional equation

Nataphan Kitisin^a, Preechaya Sanyatit^b,*

ABSTRACT: Given an integer n ? 2, we will establish the general solution and investigate the superstability of the multidimensional pexiderized cosine functional equation 2n nYi=1 fi(xi) = X ?i=?1 i=1,2,...,n f1Xn i=1 ?i xi‹ for complex-valued functions defined on an abelian group

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^a	Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330 Thailand
^b	Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom 73000 Thailand

* Corresponding author, E-mail: sanyatit_p@silpakorn.edu

Received 27 Nov 2020, Accepted 3 Feb 2021

Superstability of a multidimensional pexiderized cosine functional equation

Nataphan Kitisina, Preechaya Sanyatitb,*

Nataphan Kitisin^a, Preechaya Sanyatit^b,*