Volume 34, Issue 2
Ulam-Hyers Stability of Trigonometric Functional Equation with Involution

Lihua Cheng

Commun. Math. Res., 34 (2018), pp. 141-148.

Published online: 2019-12

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  • Abstract

The present work aims to determine the solution of trigonometric functional equation $f$ with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of the trigonometric functional equation are also discussed. Furthermore, this method generalizes the main theorem and gives the supplement in some reference.

  • Keywords

exponential type functional equation, multiplicative function, stability

  • AMS Subject Headings

39B82, 39B72, 47H09

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

chenglihua2002@126.com (Lihua Cheng)

  • BibTex
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  • TXT
@Article{CMR-34-141, author = {Cheng , Lihua}, title = {Ulam-Hyers Stability of Trigonometric Functional Equation with Involution}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {2}, pages = {141--148}, abstract = {

The present work aims to determine the solution of trigonometric functional equation $f$ with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of the trigonometric functional equation are also discussed. Furthermore, this method generalizes the main theorem and gives the supplement in some reference.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.02.06}, url = {http://global-sci.org/intro/article_detail/cmr/13520.html} }
TY - JOUR T1 - Ulam-Hyers Stability of Trigonometric Functional Equation with Involution AU - Cheng , Lihua JO - Communications in Mathematical Research VL - 2 SP - 141 EP - 148 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.02.06 UR - https://global-sci.org/intro/article_detail/cmr/13520.html KW - exponential type functional equation, multiplicative function, stability AB -

The present work aims to determine the solution of trigonometric functional equation $f$ with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of the trigonometric functional equation are also discussed. Furthermore, this method generalizes the main theorem and gives the supplement in some reference.

Lihua Cheng. (2019). Ulam-Hyers Stability of Trigonometric Functional Equation with Involution. Communications in Mathematical Research . 34 (2). 141-148. doi:10.13447/j.1674-5647.2018.02.06
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