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-Potentials in a Half Space
A class of
-potentials represented as the sum of modified Green potential and modified Poisson integral are proved to have the growth es...
-Euler Polynomials and Numbers of Higher Order Associated with Fermionic Invariant
-Integrals
We define multiple Nörlund-type twisted
-Euler polynomials and numbers and give interpolation functions of multiple Nörlund-type twisted...
We establish some necessary and sufficient conditions for oscillation of the solutions of the following two-dimensional difference system:
Given any continuous increasing function
such that
, we show that there are...
We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with ot...
-Mixing Random Variables
Some results on complete convergence for weighted sums
are presented, where
Using a Kurepa's result for Gramians, we achieve refinements of well-known generalizations of Grüss inequality in inner product spaces. These results are further applied in ...
We obtain the generalized Hyers-Ulam stability of the bi-quadratic functional equation
in quasinormed spaces.
The purpose of this paper is to introduce a general iterative method for finding solutions of a general system of variational inclusions with Lipschitzian relaxed cocoercive mappings. Strong convergence theore...
We prove a sharp weighted Rellich inequality associated with a class of Greiner-type vector fields on H-type groups. We also obtain some weighted Hardy- and Rellich-type inequalities on nonisotropic Heisenberg...
We prove that
is multiplicatively concave on
if
This paper is devoted to some applications of a weighted symmetrization inequality related to a second order boundary value problem. We first interpret the inequality in the context of elastic membranes, and o...
We consider a linear programming problem in which the right-hand side vector depends on multiple parameters. We study the characters of the optimal value function and the critical regions based on the concept ...
-Weighted Inequalities with Lipschitz and BMO Norms
We first define a new kind of
two-weight, then obtain some two-weight integral inequalities with Lipschitz norm and BMO norm for Green'...
Let
be a sequence of independent and identically distributed (i.i.d.) random variables and denote
...
We introduce a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed point for nonexpansive semigroup, and the set of ...
Using exponential inequalities, Wu et al. (2009) and Wang et al. (2010) obtained asymptotic approximations of inverse moments for nonnegative independent random variables and nonnegative negatively orthant dep...
By means of a differential operator, we introduce and investigate some new subclasses of
-valently analytic functions with negative coefficients...
We use an inequality given by Matić and Pečarić (2000) and obtain improvement and reverse of Slater's and related inequalities.
In this paper, the exponential stability analysis problem is considered for a class of recurrent neural networks (RNNs) with random delay and Markovian switching. The evolution of the delay is modeled by a con...
A basic theorem is established and found to be a source of inequalities for hyperbolic functions, such as the ones of Cusa, Huygens, Wilker, Sandor-Bencze, Carlson, Shafer-Fink type inequality, and the one in ...
General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, clos...
Involved in the Blasius Problem
Utilizing the Schauder fixed point theorem to study existence on positive solutions of an integral equation, we obtain an upper bound of the critical value
...
This paper is concerned with a periodic system dependent on parameter. We study differentiability with respect to parameters of the periodic solution of the system. Applying a fixed point theorem and the resul...
Let
be a positive integer and
,
...
We study the set of all spreading models generated by weakly null sequences in Orlicz sequence spaces equipped with partial order by domination. A sufficient and necessary condition for the above-mentioned set...
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued ma...
This paper deals with some inequalities for trigonometric and hyperbolic functions such as the Jordan inequality and its generalizations. In particular, lower and upper bounds for functions such as
-Harmonic Equations
We obtain gradient estimates in Orlicz spaces for weak solutions of
-Harmonic Equations under the assumptions that
...
-Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
We give a new construction of the
-Euler numbers and polynomials of higher order attached to Dirichlet's character
...
Let
be a
-invariant convex domain in
...
-Hyponormal Operators
We study
-normal operators and
-hyponormal operators. We sho...
Some reverses of the Jensen inequality for functions of self-adjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest a...
We find the greatest value
and least value
such that the d...
-Normed Spaces
We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi-
-normed spaces and then the stability by using a subadditive functi...
We investigate the superstability of the functional equation
, where
A logarithmically improved regularity criterion for the 3D nematic liquid crystal flows is established.
-Inverse and
-Inverse of a Matrix Product
Both Djordjević (2007) and Takane et al. (2007) have studied the equivalent conditions for
and
We introduce an iterative sequence and prove a weak convergence theorem for finding a solution of a system of mixed equilibrium problems and the set of fixed points of a quasi-nonexpansive mapping in Hilbert s...
We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well. The analysis used in the proofs is fairly elemen...
By using the concept of Fréchet differentiability of mapping, we present the Kuhn-Tucker optimality conditions for weakly efficient solution, Henig efficient solution, superefficient solution, and globally eff...
Integrability of Functions Defined by Trigonometric Series
We introduce a new class of sequences called
and give a sufficient and necessary condition for weighted
...
We derive eight basic identities of symmetry in three variables related to Euler polynomials and alternating power sums. These and most of their corollaries are new, since there have been results only about id...
-Statistical Equivalent Sequences of Fuzzy Numbers
The goal of this paper is to give the asymptotically
-statistical equivalent which is a natural combination of the definition for asympt...
Let (
,
) be a standardized nonstationary Gaussian sequence. ...
Let
be a sequence of positive independent and identically distributed random variables with common Pareto-type distribution function
Let
be a sequence of independent and identically distributed (i.i.d.) random variables, and
...
The purpose of this paper is to derive an interested subordination relation which contains the Srivastava-Attiya integral operator
in t...
By the notation and monotone convergence theorem of Henstock-Kurzweil integral, we investigate the existence of continuous solutions for the second order boundary value problems with integral boundary conditio...
The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Li...
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