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An important property is established for higher-order weakly generalized adjacent epiderivatives. This corrects an earlier result by Wang and Li (2009).
The original article was published in Journal of Inequalities and Applications 2009 2009:462637
By applying the way of real and complex analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree −2 involving some ...
-Mixing Random Variables
Complete convergence is studied for linear statistics that are weighted sums of identically distributed
-mixing random variables under a suitabl...
We give here an almost sure central limit theorem for product of sums of strongly mixing positive random variables.
Subordination and superordination preserving properties for multivalent functions in the open unit disk associated with the Dziok-Srivastava operator are derived. Sandwich-type theorems for these multivalent f...
-Difference Riesz Sequence Spaces and Uniform Opial Property
We define the new generalized difference Riesz sequence spaces
,
Let
, the authors introduce in this paper a class of the hypersingular Marcinkiewicz integrals along surface with variable kernels defin...
Models
Global well-posedness result is established for both a 3D density-dependent modified-Leray-
model and a 3D density-dependent modified-Le...
Approximation by Multivariate Baskakov-Durrmeyer Operator
The main aim of this paper is to introduce and study multivariate Baskakov-Durrmeyer operator, which is nontensor product generalization of the one variable. As a main result, the strong direct inequality of
We prove the superstability of quadratic double centralizers and of quadratic multipliers on Banach algebras by fixed point methods. These results show that we can remove the conditions of being weakly commuta...
Firstly, a generalized weak convexlike set-valued map involving the relative interior is introduced in separated locally convex spaces. Secondly, a separation property is established. Finally, some optimality ...
This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the delay Lotka-Volterra model. The stochastic version of this process appears t...
We introduce the shrinking hybrid projection method for finding a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of the variational inequalities w...
Fritz Carlson's type inequality for fuzzy integrals is studied in a rather general form. The main results of this paper generalize some previous results.
We obtain the discrete versions of integral inequalities of Bernoulli type obtained in Choi (2007) and give an application to study the boundedness of solutions of nonlinear Volterra difference equations.
This paper is devoted to the characterizations of the boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems in reflexive Banach spaces, when both the mapping and the constrai...
Summability Factors of Infinite Series
New result concerning
summability of the infinite series
i...
-Functions and Multipliers for the Laguerre Hypergroup
Let
where
...
The main object of this paper is to derive some inequality properties and convolution properties of certain class of integral operators defined on the space of meromorphic functions.
This paper investigates the problem of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control. Several sufficient conditions of exponential stabiliza...
-Adic
-Integral Representation on
Associated with the Weighted
-Bernstein and
-Bernoulli Polynomials
We investigate some interesting properties of the weighted
-Bernstein polynomials related to the weighted
...
It is established that the sequences
and
are strictly incr...
The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and w...
We introduce and consider some new systems of extended general variational inclusions involving six different operators. We establish the equivalence between this system of extended general variational inclusi...
A scalarization theorem and two Lagrange multiplier theorems are established for tightly proper efficiency in vector optimization involving nearly cone-subconvexlike set-valued maps. A dual is proposed, and so...
Spaces to Zygmund-Type Spaces on the Unit Ball
Let
denote the space of all holomorphic functions on the unit ball
We investigate the Hyers-Ulam stability of the quadratic functional equation on restricted domains. Applying these results, we study of an asymptotic behavior of these quadratic mappings.
-Normed Spaces
We achieve the general solution of the quintic functional equation
and the sextic functional equation
...
On the hypothesis that the
th moments of the Hardy
-function...
We show that the function
is strictly logarithmically completely monotonic on
...
Some nonlinear weakly singular integral inequalities in two variables which generalize some known results are discussed. The results can be used as powerful tools in the analysis of certain classes of differen...
We introduce a generalized quadratic functional equation
, where
We determine the condition on
,
,
...
A new delay integral inequality is established. Using this inequality and the properties of nonnegative matrix, the attracting sets for the nonlinear functional differential equations with distributed delays a...
We introduce the vector-valued sequence spaces
,
, and
-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions
By the Leray-Schauder's degree, the existence of solutions for a weighted
-Laplacian impulsive integro-differential system with multi-point and ...
We establish some new Fejér-type inequalities for convex functions.
-adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials
The purpose of this paper is to give some properties of several Bernstein type polynomials to represent the fermionic
-adic integral on
Let
be a simple graph with
vertices, and let
Analyzing voting on income taxation usually implies mathematically cumbersome models. Moreover, a majority voting winner does not usually exist in such setups. Therefore, it is important to mathematically desc...
Here, we study the continuity of integral operators with operator-valued kernels. Particularly we get
estimates under some natural cond...
and Regularity Condition
We give a new proof for power-type weighted Hardy inequality in the norms of generalized Lebesgue spaces
. Assuming the logarithmic cond...
We give some refinements of the inequalities of Aczél, Popoviciu, and Bellman. Also, we give some results related to power sums.
Two-weighted norm estimates with general weights for Hardy-type transforms and potentials in variable exponent Lebesgue spaces defined on quasimetric measure spaces
...
Global phase synchronization for a class of dynamical complex networks composed of multiinput multioutput pendulum-like systems with time-varying coupling delays is investigated. The problem of the global phas...
For
, the generalized logarithmic mean
, arithmetic mean
We investigate an impulsive predator-prey system with Monod-Haldane type functional response and control strategies, especially, biological and chemical controls. Conditions for the stability of the prey-free ...
We give the best lower bound for the weighted Jensen's discrete inequality with ordered variables applied to a convex function
, in the ...
For
, the power-type Heron mean
and the Seiffert mean
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