The uniqueness for algebroid functions of finite order
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DOI: 10.1007/s10473-020-0407-z
Abstract: In this article, we discuss, by Nevanlinna theory, the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions. We get several uniqueness theorems of algebroid functions which include an at most… read more here.
Keywords: algebroid functions; finite order; uniqueness algebroid; functions finite ... See more keywords
Fourier transforms on finite group actions and bent functions
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DOI: 10.1007/s10801-021-01057-3
Abstract: Highly nonlinear functions (bent functions, perfect nonlinear functions, etc.) on finite fields and finite (abelian or nonabelian) groups have been studied in numerous papers. As a generalization of bent functions on finite groups, bent functions… read more here.
Keywords: group; bent functions; functions finite; complex valued ... See more keywords
Power trace functions over finite fields
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DOI: 10.1142/s0219498820501960
Abstract: We count the number of solutions to a power trace function equal to a constant and use this to find the probability of a successful attack on an authentication code proposed by Ding et al.… read more here.
Keywords: trace functions; power trace; finite fields; power ... See more keywords
A generalization of Fatou’s lemma for extended real-valued functions on σ-finite measure spaces: with an application to infinite-horizon optimization in discrete time
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DOI: 10.1186/s13660-016-1288-5
Abstract: Given a sequence {fn}n∈N$\{f_{n}\}_{n \in \mathbb {N}}$ of measurable functions on a σ-finite measure space such that the integral of each fn$f_{n}$ as well as that of lim supn↑∞fn$\limsup_{n \uparrow\infty} f_{n}$ exists in R‾$\overline{\mathbb {R}}$, we… read more here.
Keywords: horizon optimization; finite measure; discrete time; measure ... See more keywords
On deviations and maximum points of algebroid functions of finite lower order
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DOI: 10.2996/kmj44103
Abstract: We consider the influence of the number of separated maximum points and Valiron deficiency over the magnitude of Petrenko's deviation of algebroid functions of finite lower order. Presented results are the generalization of Petrenko's and… read more here.
Keywords: algebroid functions; finite lower; maximum points; functions finite ... See more keywords
Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis
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DOI: 10.3906/mat-1605-26
Abstract: We obtain several inequalities of approximation by integral functions of finite degree in generalized Lebesgue spaces with variable exponent defined on the real axis. Among them are direct, inverse, and simultaneous estimates of approximation by… read more here.
Keywords: finite degree; lebesgue spaces; integral functions; approximation integral ... See more keywords
Remarks on the rings of functions which have a finite numb er of di scontinuities
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DOI: 10.4995/agt.2021.14332
Abstract: Let X be an arbitrary topological space. F (X) denotes the set of all real-valued functions on X and C(X)F denotes the set of all f ∈ F (X) such that f is discontinuous at… read more here.
Keywords: remarks rings; functions finite; numb scontinuities; topology ... See more keywords