Superstability of the functional equation with a cocycle related to distance measures

Stability of a Functional Equation Related to Distance Measures - Ii

The present work continues the study of the stability of the functional equations of the type f(pr, qs) + f(ps, qr) = f(p, q) f(r, s) namely (i) f(pr, qs)+f(ps, qr) = g(p, q) g(r, s), and (ii) f(pr, qs)+f(ps, qr) = g(p, q) h(r, s) for all p, q, r, s ∈ G, where G is an abelian group. These functional equations arise in the characterization of symmetrically compositive sumform distance measures.

Stability of a Pexider Type Functional Equation Related to Distance Measures

This work aims to study of the stability of two generalizations of the functional equation f (pr,qs)+ f (ps,qr) = f (p,q) f (r,s) , namely (i) f (pr,qs)+g(ps,qr) = h(p,q)h(r,s) , and (ii) f (pr,qs)+ g(ps,qr) = h(p,q)k(r,s) for all p,q,r,s ∈ G , where G is a commutative semigroup. Thus this work is a continuation of our earlier works [15] and [16], and the functional equations studied here arise...

Superstability of Some Pexider-Type Functional Equation

the evaluation of language related engagment and task related engagment with the purpose of investigating the effect of metatalk and task typology

abstract while task-based instruction is considered as the most effective way to learn a language in the related literature, it is oversimplified on various grounds. different variables may affect how students are engaged with not only the language but also with the task itself. the present study was conducted to investigate language and task related engagement on the basis of the task typolog...

On the Superstability of the Pexider Type Trigonometric Functional Equation

We will investigate the superstability of the hyperbolic trigonometric functional equation from the following functional equations: fx y ± gx − y λfxgy andfx y ± gx − y λgxfy, which can be considered the mixed functional equations of the sine function and cosine function, the hyperbolic sine function and hyperbolic cosine function, and the exponential functions, respectively.