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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.18 No.3

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STABILITY OF TRIGONOMETRIC TYPE FUNCTIONAL EQUATIONS IN RESTRICTED DOMAINS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.3, pp.231-244
https://doi.org/10.7468/jksmeb.2011.18.3.231
Chung, Jae-Young
Chung,, J. (2011). STABILITY OF TRIGONOMETRIC TYPE FUNCTIONAL EQUATIONS IN RESTRICTED DOMAINS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(3), 231-244, https://doi.org/10.7468/jksmeb.2011.18.3.231

Abstract

We prove the Hyers-Ulam stability for trigonometric type functional inequalities in restricted domains with time variables. As consequences of the result we obtain asymptotic behaviors of the inequalities and stability of related functional inequalities in almost everywhere sense.

keywords
Hyers-Ulam stability, additive function, exponential function, trigonometric type functional equation, heat kernel

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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