한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제29권2호
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  • Pages.189-199
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  • 2022
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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ORTHOGONAL STABILITY OF AN EULER-LAGRANGE-JENSEN (a, b)-CUBIC FUNCTIONAL EQUATION

  • Pasupathi, Narasimman (Department of Mathematics, Thiruvalluvar University College of Arts and Science) ;
  • Rassias, John Michael (Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens) ;
  • Lee, Jung Rye (Department of Data Science, Daejin University) ;
  • Shim, Eun Hwa (Department of Mathematics, Hanyang University)
  • 투고 : 2022.04.09
  • 심사 : 2022.04.28
  • 발행 : 2022.05.31
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초록

In this paper, we introduce a new generalized (a, b)-cubic Euler-Lagrange-Jensen functional equation and obtain its general solution. Furthermore, we prove the Hyers-Ulam stability of the new generalized (a, b)-cubic Euler-Lagrange-Jensen functional equation in orthogonality normed spaces.

키워드

과제정보

E. H. Shim was partially supported by the Hanyang University Postdoctoral Research Fund (HY202100000000785).

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