Results 21 to 30 of about 126,431 (269)

Bounded functional interpretation

open access: yesAnnals of Pure and Applied Logic, 2005
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
openaire   +2 more sources

The Sharp Bounds of the Third-Order Hankel Determinant for Certain Analytic Functions Associated with an Eight-Shaped Domain

open access: yesFractal and Fractional, 2022
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
doaj   +1 more source

On bounded functional interpretations

open access: yesAnnals of Pure and Applied Logic, 2012
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
openaire   +1 more source

Legendre Wavelet expansion of functions and their Approximations

open access: yesRatio Mathematica, 2019
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
doaj   +1 more source

On Functions of Bounded Rotation [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
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.
openaire   +2 more sources

lp,q-bounded sequences in function spaces

open access: yesJournal of Function Spaces and Applications, 2003
A sequence of measurable functions {fn} is called lp,q-bounded sequence ...
S. Ya. Novikov
doaj   +1 more source

Boundedness and continuity of superposition operator on Er(p) and Fr(p) [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2002
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
doaj  

ON A COMPREHENSIVE CLASS OF ANALYTIC P-VALENT FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVE AND MODIFIED SIGMOID FUNCTION

open access: yesMalaysian Journal of Computing, 2022
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
doaj   +1 more source

Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction

open access: yesAxioms, 2019
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
doaj   +1 more source

On Almost Bounded Functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
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.
openaire   +2 more sources

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