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This paper deals with new inverse-type Hilbert inequalities. Our results in special cases yield some of the recent results and provide some new estimates on such types of inequalities.
We give John-Nirenberg type inequalities for the Morrey-Campanato spaces on
.
Let
be a real Hilbert space,
a nonempty closed convex subset of
-Laplacian Equations with Exponential Nonlinearities
This paper investigates the
-Laplacian equations with exponential nonlinearities
...
We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common el...
Let
be a real
-uniformly smooth Banach space with constant
Let
denote the class of functions
that are harmonic unival...
We reinvestigate the convergence properties of the SQP-type method for solving nonlinear semidefinite programming problems studied by Correa and Ramirez (2004). We prove, under the strong second-order sufficie...
The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most im...
and Applications
We use the
-binomial formula to establish two inequalities for the basic hypergeometric series
...
We use the potential theory to give integral representations of functions in the Sobolev spaces
, where
...
-Twisted Euler Polynomials and Numbers
The main purpose of this paper is to construct generating functions of higher-order twisted
-extension of Euler polynomials and numbers,...
This paper gives some local regularity results for minima of anisotropic functionals
...
We build a multiple Hilbert-type integral inequality with the symmetric kernel
and involving an integral operator
...
The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the porous medium equation
, is studied. S...
This paper generalizes results of Cheung and Ma (2005) to more general inequalities with more than one distinct nonlinear term. From our results, some results of Cheung and Ma (2005) can be deduced as some spe...
In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functional equation
for fixed integer
We investigate properties of the zeros of solutions for higher-order periodic differential equations, and prove that under certain hypotheses, the convergence exponent of zeros of the product of two linearly i...
We introduce some approximate optimal solutions and a generalized augmented Lagrangian in nonlinear programming, establish dual function and dual problem based on the generalized augmented Lagrangian, obtain a...
We construct new twisted Euler polynomials and numbers. We also study the generating functions of the twisted Euler numbers and polynomials associated with their interpolation functions. Next we construct twis...
1-Order and Applications
Some character of the symmetric homogenous kernel of
1-order in Hilbert-type operator
...
We study the strong convergence of a hybrid steepest descent method with variable parameters for the general variational inequality (GVI)
Let
be a nonnegative Radon measure on
which satisfies the gr...
-Laplacian Equations with Singular Nonlinearities
This paper investigates the
-Laplacian equations with singular nonlinearities
Let
be a sequence of real numbers and let
be any
The purpose of the present paper is to introduce several new classes of analytic functions defined by using the Choi-Saigo-Srivastava operator associated with the Dziok-Srivastava operator and to investigate v...
We consider a new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results in...
Integral means inequalities are obtained for the fractional derivatives of order
of functions belonging to a unified subclass of prestar...
We derive oscillation criteria for general-type neutral differential equations
...
We obtain an interesting subordination relation for Salagean-type certain analytic functions by using subordination theorem.
Some existence theorems of nonzero solutions and multiple solutions for a class of bilinear variational inequalities are studied in reflexive Banach spaces by fixed point index approach. The results presented ...
We establish generalizations of Steffensen's integral inequality on time scales via the diamond-
dynamic integral, which is defined as a...
-Laplacian Equations
We consider the oscillatory property of the following
-Laplacian equations
By virtue of an operator-theoretical approach, we deal with hyperbolic singular perturbation problems for integrodifferential equations. New convergence theorems for such singular perturbation problems are obt...
A new simple proof of Shafer-Fink-type inequality proposed by Malešević is given.
-Genocchi Numbers and Polynomials
We discuss new concept of the
-extension of Genocchi numbers and give some relations between
...
We obtain efficient conditions under which some or all solutions of a nonlinear equation in a topological vector space preordered by a closed wedge are comparable with respect to the corresponding preordering....
For the differential system
,
,
...
We study Hermite-Hadamard-type inequalities for increasing positively homogeneous functions. Some examples of such inequalities for functions defined on special domains are given.
Operators
This paper discusses some spectral properties of class
operators for
By introducing the norm
and two parameters
We suggest and analyze an iterative algorithm for a finite family of nonexpansive mappings
. Further, we prove that the proposed iterativ...
We study the asymptotic behavior of solutions to the second-order evolution equation
a.e.
...
We generalize and sharpen Aczél's inequality and Popoviciu's inequality by means of two classical inequalities, a unified improvement of Aczél's inequality and Popoviciu's inequality is given. As application, ...
-Boundedness of Marcinkiewicz Integrals along Surfaces with Variable Kernels: Another Sufficient Condition
We give the
estimates for the Marcinkiewicz integral with rough variable kernels associated to surfaces. More precisely, we give some ot...
-Positivity Properties of Time-Invariant Linear Systems Subject to Point Delays
This paper discusses nonnegativity and positivity concepts and related properties for the state and output trajectory solutions of dynamic linear time-invariant systems described by functional differential equ...
Summability Factors for Infinite Series
We obtain sufficient conditions on a nonnegative lower triangular matrix
and a sequence
...
-Type and
-Type Functions
Several characteristic quantities associated with homogeneous
-type and
We obtain a solution of the quasilinear equation
in
,
We establish some new Opial-type inequalities involving functions of two and many independent variables. Our results in special cases yield some of the recent results on Opial's inequality and also provide new...
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