Results 21 to 30 of about 126,431 (269)
Bounded functional interpretation
Gödel's Dialectica interpretation is suitable for extracting precise witnesses from constructive proofs of existential statements (or more generally of \(\forall \exists\)-statements). In the present paper, the authors present a new functional interpretation -- the so called \textit{bounded functional interpretation}, b.f.i. henceforth -- which aims at
Fernando Ferreira 0001, Paulo Oliva
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The main focus of this research is to solve certain coefficient-related problems for analytic functions that are subordinated to a unique trigonometric function.
Lei Shi +4 more
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On bounded functional interpretations
Functional interpretations are powerful tools in mathematical logic with many applications, among them witnessing existential statements. The first class of functional interpretations provided precise witnesses for existential statements. A second class of functional interpretations provided bounds for existential statements by changing the target from
Gilda Ferreira, Paulo Oliva
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Legendre Wavelet expansion of functions and their Approximations
In this paper , nine new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been obtained.These estimators are new and best approximation in wavelet analysis.
Indra Bhan, Lal Shyam, Lal Shyam
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On Functions of Bounded Rotation [PDF]
For fixed k_ 2, denote by Vk and Rk the classes of functions regular in the unit disc and having boundary and radial rotation, respectively, at most klT. The concept of order of a function is defined for both Vk and Rk. For functions in these classes, the growth of integral and coefficient means is studied in terms of the order of the function.
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lp,q-bounded sequences in function spaces
A sequence of measurable functions {fn} is called lp,q-bounded sequence ...
S. Ya. Novikov
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Boundedness and continuity of superposition operator on Er(p) and Fr(p) [PDF]
Let X ∈ {Er(p)V , Fr(p)}, in this research, necessary and sufficient conditions are given for superposition operator to act from X into the space l1. Moreover, necessary and sufficient conditions are obtained for superposition operator acting from X into
Assa-aree Sama-ae
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In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit ...
Jamiu Olusegun Hamzat +1 more
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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On Almost Bounded Functions [PDF]
New results are presented with regard to the “almost bounded functions” introduced by Goodman [2], including a theorem which contains a proof of Goodman’s conjecture for a particular case.
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