Page 84 of 101
-Algebras
We give an analogue of the Bessel inequality and we state a simple formulation of the Grüss type inequality in inner product
-modules, w...
-Valent Functions Associated by the Linear Operator
The purpose of this paper is to introduce two novel subclasses
and
Let
, let
be a continuous, nonnegative, and increasing func...
A recent refinement of the classical discrete Jensen inequality is given by Horváth and Pečarić. In this paper, the corresponding weighted mixed symmetric means and Cauchy-type means are defined. We investigat...
Let us introduce the Sobolev-type inner product
, where
and...
We discuss strong law of large numbers and complete convergence for sums of uniformly bounded negatively associate (NA) random variables (RVs). We extend and generalize some recent results. As corollaries, we ...
Gavrea and Ivan (2010) obtained an inequality for a continuous linear functional which annihilates all polynomials of degree at most
fo...
We show that there exit E-J generalized Hausdorff matrices and unbounded sequences
such that each matrix has convergence domain
We derive some optimal convex combination bounds related to Seiffert's mean. We find the greatest values
,
...
A new Kantorovich type inequality for Hermite matrices is proposed in this paper. It holds for the invertible Hermite matrices and provides refinements of the classical results. Elementary methods suffice to p...
The aim of the present paper is to establish some fractional
-integral inequalities on the specific time scale,
...
Spaces Defined by Sequences of Orlicz Functions
We introduce new sequence space
defined by combining an Orlicz function, seminorms, and
...
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally...
-Normed Space
The aim of this paper is to introduce and study some new double sequence spaces with respect to an Orlicz function, and also some properties of the resulting sequence spaces were examined.
The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
We use the hybrid steepest descent methods for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a strict pseudocontraction mapping in the setting of rea...
We prove two normality criteria for families of some functions concerning Lahiri's type, the results generalize those given by Charak and Rieppo, Xu and Cao. As applications, we study a problem related to R. B...
We show that the main results by S. Simić are special cases of results published many years earlier by J. E. Pečarić et al. (1992).
We investigate the growth of solutions of
, where
and
-Random Stability of an ACQ Functional Equation
We prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation:
in complete latticetic rando...
In the paper titled as "Jackson-type inequality on the sphere" (2004), Ditzian introduced a spherical nonconvolution operator
, which pl...
This paper studies the stability of the solution
for a class of quasilinear implicit dynamic equations on time scales of the form
A class of small-deviation theorems for the relative entropy densities of arbitrary random field on the generalized Bethe tree are discussed by comparing the arbitrary measure
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
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