GENERALIZED ULAM-HYERS STABILITY OF THE HARMONIC MEAN FUNCTIONAL EQUATION IN TWO VARIABLES

被引：0

作者：

Ravi, K. ^{[1
]}

Rassias, J. M. ^{[2
]}

Kumar, B. V. Senthil ^{[3
]}

机构：

[1] Sacred Heart Coll, PG & Res Dept Math, Tirupattur 635601, Tamil Nadu, India

[2] Natl & Capodistrian Univ Athens, Sect Math & Informat, Pedag Dept EE, Athens 15342, Attikis, Greece

[3] C Abdul Hakeem Coll Engn & Tech, Dept Math, Elvisharam 632509, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2013年 / 1卷 / 01期

关键词：

Harmonic mean; additive functional equation; reciprocal functional equation; Generalized Hyers-Ulam stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find the solution and prove the generalized Ulam-Hyers stability of the harmonic mean functional equation in two variables. We also provide counterexamples for singular cases.

引用

页码：1 / 17

页数：17

共 50 条

[41] Generalized Hyers–Ulam stability of ρ-functional inequalities
Sundas Nawaz
Abdul Bariq
Afshan Batool
Ali Akgül
Journal of Inequalities and Applications, 2023
[42] Ulam-Hyers stability for a nonlinear Volterra integro-differential equation
Ho Vu
Ngo Van Hoa
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (04): : 1261 - 1269
[43] Ulam-Hyers stability of fractional Langevin equations
Wang, JinRong
Li, Xuezhu
APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 72 - 83
[44] Ulam-Hyers stability for partial differential inclusions
Lazar, Vasile L.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (21) : 1 - 19
[45] On Hyers-Ulam stability of generalized linear functional equation and its induced Hyers-Ulam programming problem
Zhang, Dong
AEQUATIONES MATHEMATICAE, 2016, 90 (03) : 559 - 568
[46] A quartic functional equation and its generalized Hyers-Ulam-Rassias stability
Petapirak, Montakarn
Nakmahachalasint, Paisan
THAI JOURNAL OF MATHEMATICS, 2008, 6 (03): : 77 - 84
[47] On the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation
Jun, Kil-Woung
Lee, Yang-Hi
Cho, Young-Sun
ABSTRACT AND APPLIED ANALYSIS, 2007,
[48] Hyers-Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions
Chung, Jae-Young
Kim, Dohan
Rassias, John Michael
JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (11)
[49] Some Generalizations of Ulam-Hyers Stability Functional Equations to Riesz Algebras
Polat, Faruk
ABSTRACT AND APPLIED ANALYSIS, 2012,
[50] Existence and Stability of Ulam-Hyers for Neutral Stochastic Functional Differential Equations
Selvam, Arunachalam
Sabarinathan, Sriramulu
Pinelas, Sandra
Suvitha, Vaidhiyanathan
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2024, 50 (01)

← 1 2 3 4 5 →