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A Cosine Functional Equation in Hilbert Space
Canadian Journal of Mathematics, 1960Throughout this paper R denotes the set of all real numbers, m(K) the Lebesgue measure of K ⊆ R, H a Hilbert space, L(H) the set of all linear continuous mappings of H into H, endowed with the usual structure of a Banach space.We consider the mapping F of the set R into L(H) such thatholds for all x, y ∈ R. In (2) we have solved this equation under the
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On the Operator-valued $��$-cosine functions
20178pages
Belaid, Bouikhalene +1 more
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On the Cosine Functional Equation
1968Application of functional equations has preceded the development of a systematic theory of functional equations. One of the important applications of functional equations is a functional characterization of various functions like Euler’s Γ function, Lebesgue’s singular function, cyclic functions, polynomials, exponential and logarithmic functions, etc.
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Logarithmic Hyperbolic Cosine Adaptive Filter and Its Performance Analysis
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021Shi-Yuan Wang +2 more
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Linear dynamics of discrete cosine functions on solid Banach function spaces
Positivity, 2021Seyyed Mohammad Tabatabaie
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Developed cosine similarity measure on belief function theory: An application in medical diagnosis
Communications in Statistics - Theory and Methods, 2022Fereshteh Khalaj, Mehran khalaj
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Properties of q-Starlike Functions Associated with the q-Cosine Function
Symmetry, 2022Mohammad Khan
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Exponential Hyperbolic Cosine Robust Adaptive Filters for Audio Signal Processing
IEEE Signal Processing Letters, 2021Krishna Kumar +2 more
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