Stability of a generalized trigonometric functional equation

• Published in: Journal of computational and applied mathematics Vol. 234; no. 5; pp. 1448 - 1457
• Main Authors: Tongsomporn, Janyarak, Laohakosol, Vichian, Hengkrawit, Charinthip, Udomkavanich, Patanee
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier B.V 01.07.2010; Elsevier
• Subjects: Algebra; Difference and functional equations, recurrence relations; Exact sciences and technology; Field theory and polynomials; Finite differences and functional equations; Group theory; Group theory and generalizations; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Sciences and techniques of general use; Stability; Superstability; Trigonometric functional equations; Stability; Trigonometric functional equations; Superstability; 39B82; Transcendental equation; Abelian group; Recurrence relation; Functional equation; Operator inequality; Difference equation; Numerical analysis; Applied mathematics; Numerical stability

The stability of the functional equation F ( x + y ) − G ( x − y ) = 2 H ( x ) K ( y ) over the domain of an abelian group G and the range of the complex field is investigated. Several related results extending a number of previously known ones, such as the ones dealing with the sine functional equa...