Results 41 to 50 of about 5,472,506 (230)
On some inequalities relative to the Pompeiu–Chebyshev functional
In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals, in which linear and positive functionals ...
Daniel Ianoşi, Adonia-Augustina Opriş
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Generalized functional inequalities in Banach spaces
In this paper, we solve and investigate the generalized additive functional inequalities ‖F(∑i=1nxi)-∑i=1nF(xi)‖≤‖F(1n∑i=1nxi)-1n∑i=1nF(xi)‖\left\| {F\left( {\sum\limits_{i = 1}^n {{x_i}} } \right) - \sum\limits_{i = 1}^n {F\left( {{x_i}} \right ...
Dimou H., Aribou Y., Kabbaj S.
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Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation
We prove uniqueness theorems concerning the functional inequalities in connection with an n -dimensional cubic-quadratic-additive equation m ∑ i=1 ci f ( ai1x1 +ai2x2 + · · ·+ainxn ) = 0 by applying the direct method.
Yang-Hi Lee, Soon-Mo Jung, M. Rassias
semanticscholar +1 more source
Monotonicity patterns and functional inequalities for classical and generalized Wright functions [PDF]
In this paper our aim is to present the completely monotonicity and convexity properties for the Wright function. As consequences of these results, we present some functional inequalities.
K. Mehrez
semanticscholar +1 more source
Trends to Equilibrium in Total Variation Distance [PDF]
This paper presents different approaches, based on functional inequalities, to study the speed of convergence in total variation distance of ergodic diffusion processes with initial law satisfying a given integrability condition.
Cattiaux, Patrick, Guillin, Arnaud
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In this paper, we introduce two novel subclasses of analytic functions, namely, starlike and convex functions of Ma–Minda-type, associated with a newly proposed domain.
Adel Salim Tayyah +4 more
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m-Convexity and Functional Equations
In this research we aim to explore some properties of m-convex functions from the point of view of functional equations or better, functional inequalities.
Lara Teodoro +2 more
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Generalized Stability Additive λ-Functional Inequalities With 3k-Variable in α-Homogeneous F-Spaces
In this paper, we study to solve two additive λ-functional inequalities with 3k-variables in α-homogeneous F spaces. Then we will show that the solutions of the first and second inequalities are additive mappings.
Ly Van An
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A Minimal Set of Shannon-type Inequalities for Functional Dependence Structures
The minimal set of Shannon-type inequalities (referred to as elemental inequalities), plays a central role in determining whether a given inequality is Shannon-type. Often, there arises a situation where one needs to check whether a given inequality is a
Chan, Terence +2 more
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Functional inequalities for modified Struve functions [PDF]
By using a general result on the monotonicity of quotients of power series, our aim is to prove some monotonicity and convexity results for the modified Struve functions. Moreover, as consequences of the above-mentioned results, we present some functional inequalities as well as lower and upper bounds for modified Struve functions.
Baricz, Árpád, Pogány, Tibor
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