본문 바로가기
KERD
논문KCI 등재

Stability of the multi-Jensen equation

Wolfgang Prager|Jens Schwaiger
대한수학회 (The Korean Mathematical Society)|2008.02|대한수학회보 (Bulletin of the KMS)|제45권 제1호|pp. 133-142

2

조회

0

다운로드

3

인용

0

참고문헌

키워드

stabilitymulti-Jensen functions
주제분류수학

초록

Given an m ∈ N and two vector spaces V and W, a function f : V m → W is called multi-Jensen if it satisfies Jensen’s equation in each variable separately. In this paper we unify these m Jensen equations to obtain a single functional equation for f and prove its stability in the sense of Hyers-Ulam, using the so-called direct method

Abstract

Given an m ∈ N and two vector spaces V and W, a function f : V m → W is called multi-Jensen if it satisfies Jensen’s equation in each variable separately. In this paper we unify these m Jensen equations to obtain a single functional equation for f and prove its stability in the sense of Hyers-Ulam, using the so-called direct method

참고문헌 (4)

  1. J.-H. Bae, "On the solution of a bi-Jensen functional equation and itsstability", Bull. Korean Math. Soc, 43(3), pp.499~507 (2006)
  2. S. Czerwik, "Functional Equations and Inequalities in Several Variables" (2002), World Scientific Publishing Co., Inc.
  3. G. L. Forti, "Hyers-Ulam stability of functional equations in several variables", Aequationes Math, 50(1), pp.143~190 (1995)
  4. W. Prager, "Multi-affine and multi-Jensen functions and their connection with generalized polynomials", Aequationes Math, 69(1), pp.41~47 (2005)

관련 논문AI추천

ON THE STABILITY OF A JENSEN TYPE FUNCTIONAL EQUATION IN MULTI-NORMED SPACES박규홍, 정용수한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제2호On the stability of a Cauchy-Jensen functional equation이양희, 전길웅, 조영선대한수학회 · 대한수학회논문집2008 · 제23권 제3호MODIFIED HYERS-ULAM STABILITY OF A JENSEN TYPE QUARTIC FUNCTIONAL EQUATION고훈, 김학만, 손은영한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호Hyers-Ulam Stability of Jensen Functional Equation in p- Banach Spaces김학만, 손은영, 전길웅경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II이양희, 이주리, 전길웅한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION오정하, 이양희, 전길웅한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호

이 간행물의 다른 논문 (19건)

Weighted endpoint Inequalities for Multilinear Marcinkiewicz Integral OperatorLanzhe Liu, Yu Wenxinpp. 1-10On super edge-magic labeling of some graphs박지연, 최진혁, 배재형pp. 11-21Existence of nonoscillatory solutions of higher-order difference equations with positive and negative coefficientsWenlei Dong, Zhenguo Zhang, Qiaoluan Li, Haiyan Liangpp. 23-31TANGENTIAL REPRESENTATIONS AT ISOLATED FIXED POINTS OF ODD-DIMENSIONAL G-MANIFOLDSKatsuhiro Komiyapp. 33-37Some results on preconvexity spaces민원근pp. 39-44
원문 보기