Mathematics and Computational Sciences

A REFINED APPROACH TO ULAMHYERS STABILITY IN TRIGONOMETRIC AQ FUNCTIONAL EQUATIONS

Articles in Press

Document Type : Original Article

Authors

Agilan P 1
VALLINAYAGAM V 2
ANNADURAI S 2
VADDI SESHAGIRI RAO 3

1 Department of Mathematics, St. Joseph's College of Engineering, OMR, Chennai-600119

2 Department of Mathematics, St.Joseph's College of Engineering, OMR, Chennai-600119

3 Department of Mechanical Engineering, St.Joseph's College of Engineering, OMR, Chennai-600119

10.30511/mcs.2026.2079529.1648
Abstract
The primary objective of this paper is to formulate an extended version of a new mixed-type additive-quadratic functional equation and to analyze its Ulam-Hyers stability in three distinct cases: odd, even, and odd-even. Specifically, the odd case corresponds to the stability of additive functional equations, the even case corresponds to the stability of quadratic functional equations, and the odd-even case characterizes the stability behavior of mixed additive-quadratic (AQ) functional equations

Keywords

Additive
Quadratic Functional Equations
Generalized Hyers - Ulam Stability
Subjects
Mathematics and Computational Sciences

Articles in Press, Accepted Manuscript
Available Online from 29 May 2026

  • Receive Date 01 December 2025
  • Revise Date 29 May 2026
  • Accept Date 29 May 2026

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