THE GENERAL SOLUTION AND APPROXIMATIONS OF A DECIC TYPE FUNCTIONAL EQUATION IN VARIOUS NORMED SPACES

• 발행기관: 충청수학회
• 저자명: Mohan Arunkumar Abasalt Bodaghi John Michael Rassias Elumalai Sathya
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 29, No. 2, 287~328쪽, 전체 42쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2016.05.30

국문 초록

In the current work, we define and find the general solution of the decic functional equation g(x + 5y) − 10g(x + 4y) + 45g(x + 3y) − 120g(x + 2y)+ 210g(x + y) − 252g(x) + 210g(x − y) − 120g(x − 2y)+ 45g(x − 3y) − 10g(x − 4y) + g(x − 5y) = 10!g(y) where 10! = 3628800. We also investigate and establish the generalized Ulam-Hyers stability of this functional equation in Banach spaces, generalized 2-normed spaces and random normed spaces by using direct and fixed point methods.

목차

1. Introduction

2. General solution of (1.10)

3. Stability results in Banach space

4. Stability results in generalized 2-normed spaces

5. Stability results in random normed spaces

키워드

Banach space decic functional equation generalized Ulam-Hyers stability generalized 2-normed space random normed space.