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We prove in this paper an inequality for the beta function, and we give an application in pluripotential theory.
A new approach was proposed to reformulate the biobjectives optimization model of portfolio management into an unconstrained minimization problem, where the objective function is a piecewise quadratic polynomi...
We discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module. Let
be a Ba...
The boundedness and compactness of the weighted composition operators from logarithmic Bloch-type spaces to Bloch-type spaces are studied here.
We use local averages to approximate processes that have finite second-order moments and are continuous in quadratic mean. We also provide some insight and generalization of the connection between Bernstein po...
We provide bounds for tail probabilities of the sample variance. The bounds are expressed in terms of Hoeffding functions and are the sharpest known. They are designed having in mind applications in auditing a...
We sharpen and generalize Shafer's inequality for the arc tangent function. From this, some known results are refined.
Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global ...
A new notion of higher-order weakly generalized adjacent epiderivative for a set-valued map is introduced. By virtue of the epiderivative and weak minimality, a higher-order Mond-Weir type dual problem and a h...
The Erratum to this article has been published in Journal of Inequalities and Applications 2011 2011:817965
This paper has shown some new Ostrowski type inequalities involving higher-order derivatives. The results generalized the Ostrowski type inequalities. Applications of the inequalities are also given.
We investigate the functions spaces on
for which the generalized partial derivatives
...
We are concerned with Kronecker and Hadamard convolution products and present some important connections between these two products. Further we establish some attractive inequalities for Hadamard convolution p...
Inequalities of the Hadamard and Jensen types for coordinated log-convex functions defined in a rectangle from the plane and other related results are given.
This article deals with problems of the uniqueness of transcendental meromorphic function with shared values in some angular domains dealing with the multiple values which improve a result of J. Zheng.
We study quasilinear elliptic variational-hemivariational inequalities involving general Leray-Lions operators. The novelty of this paper is to provide existence and comparison results whereby only a local gro...
We prove an existence theorem for solution of generalized strongly nonlinear implicit quasivariational inequality problems and convergence of iterative sequences with errors, involving Lipschitz continuous, ge...
The main purpose of this paper is to introduce modular structure of the sequence space defined by Altay and Başar (2007), and to study Kadec-Klee (
-Laplacian System Multipoint Boundary Value Problems in Half Line
This paper investigates the existence and asymptotic behavior of solutions for weighted
-Laplacian system multipoint boundary value problems in ...
Let
be a sequence of independent and identically distributed (i.i.d.) random variables and
...
We prove the global Caccioppoli estimate for the solution to the nonhomogeneous
-harmonic equation
...
We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fred...
Let
be a nonempty closed convex subset of a Banach space
with the dual
Denote by
the sequence space defined by
for
We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent o...
We obtain the representations of the subnormal solutions of nonhomogeneous linear differential equation
, where
...
We prove that the Hamy symmetric function
is Schur harmonic convex for
The shadowing property is to find an exact solution to an iterated map that remains close to an approximate solution. In this article, using shadowing property, we show the stability of the following equation ...
-Harmonic Equation
We first prove the local and global two-weight norm inequalities for solutions to the nonhomogeneous
-harmonic equation
Let
be a set with a binary operation
such that, for each
The exponential stability of singularly perturbed impulsive delay integrodifferential equations (SPIDIDEs) is concerned. By establishing an impulsive delay integrodifferential inequality (IDIDI), some sufficie...
We study the existence and uniqueness of almost automorphic (resp., pseudo-almost automorphic) solutions to a first-order differential equation with linear part dominated by a Hille-Yosida type operator with n...
-Euler Polynomials and Numbers
We derive formulae for the sums of products of the
-Euler polynomials and numbers using the multivariate fermionic
...
The purpose of the present paper is to investigate some inclusion properties of certain classes of meromorphic functions associated with a family of linear operators, which are defined by means of the Hadamard...
The main object of the present paper is to investigate univalence and starlikeness of certain integral operators, which are defined here by means of hypergeometric functions. Relevant connections of the result...
-Adic Invariant
-Integral
The purpose of this paper is to find Hölder type inequality for the fermionic
-adic invariant
...
We mainly consider the system
in
,
...
We give some generalizations of Shafer-Fink inequalities, and prove these inequalities by using a basic differential method and l'Hospital's rule for monotonicity.
An exponential inequality is established for identically distributed negatively associated random variables which have the finite Laplace transforms. The inequality improves the results of Kim and Kim (2007), ...
The deriving Hermite-Hadamard type inequalities for certain classes of abstract convex functions are considered totally, the inequalities derived for some of these classes before are summarized, new inequaliti...
-Minor Free Graphs
The spectral radius
of a graph
is the largest eigenvalue o...
We introduce and study a class of generalized strongly nonlinear mixed variational-like inequalities, which includes several classes of variational inequalities and variational-like inequalities as special cas...
The axi-symmetric Young-Laplace differential equation is analyzed. Solutions of this equation can describe the outer or inner free surface of a static meniscus (the static liquid bridge free surface between th...
We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space
. Some basic pro...
Some new inequalities similar to Hilbert's type inequality involving series of nonnegative terms are established.
Convergence Theorems for Multivalued Mappings in
Spaces
We show strong and
convergence for Mann iteration of a multivalued nonexpansive mapping whose domain is a nonempty closed convex subset...
We obtain an estimate on the rate of convergence of Durrmeyer-Bézier operaters for functions of bounded variation by means of some probabilistic methods and inequality techniques. Our estimate improves the res...
We study the mixed initial-boundary value problem for hyperbolic system of second order outside a closed domain. The existence of solutions to this problem is proved and the estimate for the regularity of solu...
Recently, Baktash et al. (2008) proved the stability of the cubic functional equation
and the quartic functional equation
...
The original article was published in Journal of Inequalities and Applications 2008 2008:902187
Essentially sharp Markov-type inequalities are known for various classes of polynomials with constraints including constraints of the coefficients of the polynomials. For
...
Let
,
, where
...
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