On the <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi mathvariant="script">E</mi> </math>-Hyperstability of the Inhomogeneous <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>σ</mi> </math>-Jensen’s Functional Equation on Semigroups
نویسندگان
چکیده
In this paper, we study the hyperstability problem for well-known σ -Jensen’s functional equation id="M4"> f x y + = 2 all id="M5"> , ∈ S , where id="M6"> is a semigroup and id="M7"> an involution of id="M8"> . We present sufficient conditions on id="M9"> E ⊂ ℝ so that inhomogeneous form id="M10"> id="M11"> φ id="M12"> inhomogeneity id="M13"> given, can be id="M14"> -hyperstable id="M15">
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2023
ISSN: ['1687-0409', '1085-3375']
DOI: https://doi.org/10.1155/2023/1749302