Results 91 to 100 of about 2,958 (201)
Inequalities for Entire Functions of Exponential Type
, 1984 Bernstein's inequality says that if f is an entire function of exponential type τ which is bounded on the real axis thenGenchev has proved that if, in addition, hf (π/2) ≤0, where hf is the indicator function of f, thenUsing a method of approximation due
Clément Frappier
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Beyond circular trigonometry: Parabolic functions from geometric identities
AlifmatikaThis paper presents an innovative extension of trigonometric functions to parabolic geometry, introducing the parabolic sine (sinp u) and parabolic cosine (cosp u) functions.
Laith H. M. Al-ossmi
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Approximation of entire functions of exponential type by trigonometric sums
, 2020 Let $σ>0$. For $1\le p\le \infty$, the Bernstein space $B^p_σ$ is a Banach space of all $f\in L^p(R)$ such that $f$ is bandlimited to $σ$; that is, the distributional Fourier transform of $f$ is supported in $[-σ, σ]$. We study the approximation of\ $f\in B^p_σ by finite trigonometric sums \[ P_τ(x)=χ_τ(x) \sum_{|k|\le στ/π}c_{k,τ} e^{i\fracπτk x } \
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Ain Shams Engineering JournalThis research investigates the extended Kadomtsev-Petviashvili-Boussinesq equation, relevant in numerous scenarios involving dissipative media. To initiate the analysis, a Hirota bilinear form is applied, leading to a Bäcklund transformation for the ...
Nauman Raza +4 more
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Approximation of nonnegative functions by means of exponentiated trigonometric polynomials
Journal of Computational and Applied Mathematics, 2002 The author extends work by \textit{J. M. Borwein} and \textit{W. Z. Huang} [SIAM J. Optim. 5, No.~1, 68-99 (1995; Zbl 0820.49016)] on the construction of a trigonometric or algebraic polynomial whose exponential approximates the given function. This is done by means of a Toeplitz matrix. Convergence conditions are given and an error analysis is carried
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Integral Inequalities Involving Modified Exponential Trigonometric Convex Functions
In this study, inequalities have been derived for the class of modified exponential trigonometric convex function, a type of convexity recently introduced.
Mustafa GURBUZ
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A Note on Some New Bounds for Trigonometric Functions Using Infinite Products
, 2018 In this note, new sharp bounds for trigonometric functions are proved. We provide alternative proofs to existing results on exponential bounds, with some improvements, by using infinite products and the so-called Bernoulli ...
Chesneau, Christophe, Bagul, Yogesh J.
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Characterization of basic functions
, 2019 This bachelor thesis deals with characterization of basic functions, namely selected elementary and higher functions. Functional equations provide a useful tool for characterizing these functions.
Petrášová, Anna
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To the issue of forecasting price dynamics in the property valuation
Nauka ta progres transportu, 2012 The problems of short-, medium- and long-term forecasting price dynamics are considered. The improvement of short-term forecasting techniques based on exponential smoothing is proposed.
O.N. Gnennyi
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Several Differentiable Formulas of Special Functions
, 2008 Summary. In this article, we give several differentiable formulas of special functions. There are some specific composite functions consisting of rational functions, irrational functions, trigonometric functions, exponential functions or logarithmic ...
Xiquan Liang, Yan Zhang
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