Approximation on the reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields

Advances in Difference Equations

Beri Venkatachalapathy Senthil Kumar¹  Sang Og Kim²  Abasalt Bodaghi³ 

[1] C. Abdul Hakeem College of Engineering and Technology, Melvisharam, India;Department of Mathematics, Hallym University, Chuncheon, Republic of Korea;Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran

关键词: reciprocal functional equation;    reciprocal-cubic functional equation;    reciprocal-quartic functional equation;    generalized Hyers-Ulam stability;    non-Archimedean field;    39B82;    39B72;   

DOI  :  10.1186/s13662-017-1128-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper is to study the generalized Hyers-Ulam stability of a form of reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields. Some related examples for the singular cases of these new functional equations on an Archimedean field are indicated.

【 授权许可】

CC BY