Plancherel–Pólya Inequality for Entire Functions of Exponential Type in L2(ℝ)
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DOI: 10.1007/s10476-018-0104-5
Abstract: We investigate the Plancherel–Pólya inequality $$\sum {_{k \in \mathbb{Z}}} |f(k){|^2} \leqslant {c_2}\left( \sigma \right)||f||_{{L^2}\left( \mathbb{R} \right)}^2$$∑k∈ℤ|f(k)|2⩽c2(σ)||f||L2(ℝ)2 on the set of entire functions f of exponential type at most σ whose restrictions to the real line… read more here.
Keywords: plancherel lya; functions exponential; lya inequality; entire functions ... See more keywords
On Invariant Subspaces of the Pommiez Operator in the Spaces of Entire Functions of Exponential Type
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DOI: 10.1007/s10958-019-04461-0
Abstract: We describe closed invariant eigenspaces of the Pommmiez operator in the (LF)-space of entire functions of exponential type. This space is topologically equivalent (by means of the Laplace transform) to the strong dual space of… read more here.
Keywords: functions exponential; exponential type; operator; entire functions ... See more keywords
On the approximation by entire functions of exponential type in $$L_{p,\alpha }(\mathbb {R})$$Lp,α(R)
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DOI: 10.1007/s11868-016-0160-1
Abstract: In this paper, we obtain the direct theorem of approximation of functions on the real line $$\mathbb {R}$$R in the metric of $$L_{p}$$Lp with some power weight using generalized Dunkl shifts. read more here.
Keywords: type alpha; functions exponential; approximation entire; mathbb ... See more keywords
Computing thermodynamic properties of the O2 and H2 molecules with multi-parameter exponential-type potential
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DOI: 10.1016/j.comptc.2020.112879
Abstract: Abstract In this paper, we determine the vibrational partition function using improved energy spectrum obtained recently via the path integral formalism. Based on that, we compute the thermodynamic properties of the O2 and H2 molecules,… read more here.
Keywords: thermodynamic properties; multi parameter; properties molecules; molecules multi ... See more keywords
Logarithmic-type and exponential-type hypergeometric functions for function fields
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DOI: 10.1016/j.jnt.2021.05.016
Abstract: Abstract This article suggests a new hypergeometric function for function fields and a new operator such that the Drinfeld logarithm is stable under it, and studies an equation satisfied by the hypergeometric function. As applications,… read more here.
Keywords: type exponential; logarithmic type; exponential type; function fields ... See more keywords
Necessary and Sufficient Conditions for the Solvability of the Complex Cauchy Problem in Classes of Functions of Vector-Exponential Type
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DOI: 10.1134/s0012266120080066
Abstract: We consider the Cauchy problem for general linear systems of complex partial differential equations in scales of Banach spaces of vector functions of the exponential type with an integral metric. Necessary and sufficient conditions for… read more here.
Keywords: sufficient conditions; cauchy problem; necessary sufficient; exponential type ... See more keywords
Weighted higher order exponential type inequalities in metric spaces and applications
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DOI: 10.1515/gmj-2020-2059
Abstract: Abstract In this paper, we establish weighted higher order exponential type inequalities in the geodesic space (X,d,μ){({X,d,\mu})} by proposing an abstract higher order Poincaré inequality. These are also new in the non-weighted case. As applications,… read more here.
Keywords: order exponential; order; higher order; weighted higher ... See more keywords
Global Stability of a Second-Order Exponential-Type Difference Equation
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DOI: 10.3390/sym14091803
Abstract: In this work, we explore the boundedness and local and global asymptotic behavior of the solutions to a second-order difference formula of the exponential type ξn+1=a+bξn−1+cξn−1e−ρξn, where a,c,ρ∈(0,∞), b∈(0,1) and the initials ξ0,ξ−1 are non-negative… read more here.
Keywords: exponential type; difference; global stability; second order ... See more keywords
A New Family of Exponential Type Estimators in the Presence of Non-Response
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DOI: 10.5614/j.math.fund.sci.2021.53.1.1
Abstract: We propose families of estimators for the population mean using an exponential function in case of non-response. This situation is examined under two cases, Case I and II. The bias, MSE and minimum MSE are… read more here.
Keywords: response; exponential type; family exponential; type estimators ... See more keywords