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We introduce a class of projection-contraction methods for solving a class of general random implicit quasi-variational inequalities with random multivalued mappings in Hilbert spaces, construct some random it...
-Laplacian and disconjugacy criteria
We derive oscillation and nonoscillation criteria for the one-dimensional
-Laplacian in terms of an eigenvalue inequality for a mixed problem. We...
Let
be a sequence of nonmonotonic functions of associated random variables. We derive a Newman and Wright (1981) type of inequality for the maxi...
-Laplacian-like operators
The existence of periodic solutions for second-order Liénard equations with
-Laplacian-like operator is studied by applying new generalization of...
We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the unit disk in
.
We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gi...
For
and
, we let
We give exact closed-form expressions for the Kolmogorov and the total variation distances between Poisson, binomial, and negative binomial distributions with different parameters. In the Poisson case, such ex...
For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegr...
We investigate some properties of non-Archimedean integration which is defined by Kim. By using our results in this paper, we can give an answer to the problem which is introduced by I.-C. Huang and S.-Y. Huan...
We consider an extension of Möbius-Pompeïu theorem of the elementary geometry over metric spaces. We specially take into consideration Ptolemaic metric spaces.
This paper introduces new classes of generalized invex monotone mappings and invex cocoercive mappings. Their differential property and role to analyze and solve variational-like inequality problem are presented.
We introduce a new class of normalized norms on
which properly contains all absolute normalized norms. We also give a criterion for deciding whe...
Let
be an interval and let
be a reproducing kernel on
...
We describe the sets on which difference of solutions of the gas dynamics equation satisfy some special conditions. By virtue of nonlinearity of the equation the sets depend on the solution gradient quantity. ...
We consider the basin of the zero-solution to a semilinear parabolic equation on
with the Ornstein-Uhlenbeck operator. Our aim is to show that t...
We discuss the stability of complex exponential frames
in
,
...
We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a composite ma...
The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions. These results are applied to the prove of two-weighted B...
We introduce and study a new system of generalized nonlinear relaxed cocoercive inequality problems and construct an iterative algorithm for approximating the solutions of the system of generalized relaxed coc...
A discrete Hardy-type inequality
is considered for a positive "kernel"
,
The goal of the paper is twofold: (1) to show that the exact value
in the Meńshov-Rademacher inequality equals 4/3, and (2) to give a new proof ...
-quasihyponormal operators
It is shown that if
is an
upper-triangular operator matrix acting on the Hil...
We study a nonlinear hyperbolic equation with boundary memory source term. By the use of Galerkin procedure, we prove the global existence and the decay property of solution.
We prove Turán-type inequalities for some special functions by using a generalization of the Schwarz inequality.
We denote by
and
the gamma and the incomplete gamma functions, respectively....
The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalue...
We study the existence and multiplicity of solutions for the three-point nonlinear boundary value problem
,
...
Bounds on strong convergences of the Hill-type estimator are established under second-order regularly varying conditions.
We establish a weighted
boundedness of a parametric Marcinkiewicz integral operator
This paper is devoted to the study of behaviour and sensitivity analysis of the solution for a class of parametric problem of completely generalized quasi-variational inequalities.
scale
Yano's extrapolation theorem dated back to 1951 establishes boundedness properties of a subadditive operator
acting continuously in
-hyponormal and
-hyponormal operators
Firstly, we will show the following extension of the results on powers of
-hyponormal and
-Laplacian
Oscillation criteria for PDE with
-Laplacian div
are obtained via Riccati ine...
We apply the Poincaré inequality to study the extended Kantorovich method that was used to construct a closed-form solution for two coupled partial differential equations with mixed boundary conditions.
We consider an elliptic hemivariational inequality with nonlocal nonlinearities. Assuming only certain growth conditions on the data, we are able to prove existence results for the problem under consideration....
We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Little...
We establish a result concerning the existence of solutions for the following implicit integral equation:
, where
...
Using maximal element theorem, we prove some existence theorems for the two types of generalized vector quasi-variational-like inequalities with non-monotonicity and non-compactness.
We introduce new and interesting model of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit v...
estimates of Hardy-Littlewood maximal operators
We will introduce the
times modified centered and uncentered Hardy-Littlewood maximal operators on nonhomogeneous spaces for
...
We prove that the complete elementary symmetric function
and the function
ar...
If
is a polynomial of degree
, having all its zeros in
...
norm of a GCD-related matrix
We find an upper bound for the
norm of the
matrix whose
...
We deal with the self-similar singular solution of doubly singular parabolic equation with a gradient absorption term
for
...
A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are pro...
We establish some complements of Cauchy's inequality on time scales. These results extend some inequalities given by Cargo, Diaz, Goldman, Greub, Kantorovich, Makai, Metcalf, Pólya, Rheinboldt, Schweitzer, and...
-quasihyponormal operators
We show that if
is a
-quasihyponormal operator and
...
Let
be a nonlinear mapping from a nonempty closed invex subset
of an infinit...
We study nonlinear ODE problems in the complex Euclidean space, with the right-hand side being polynomial with nonconstant periodic coefficients. As the coefficients functions, we admit only functions with van...
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