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-Parametric Bleimann Butzer and Hahn Operators
We introduce a new
-parametric generalization of Bleimann, Butzer, and Hahn operators in
...
-Laplacian Equation Boundary Value Problems
This paper investigates the existence of solutions for weighted
-Laplacian ordinary boundary value problems. Our method is based on Leray-Schaud...
-Symmetric Points
In our previous work in this journal in 2008, we introduced the generalized derivative operator
for
...
We discuss some variants of the Hermite-Hadamard inequality for convex functions on time scales. Some improvements and applications are also included.
We consider the transient drift-diffusion model with fast diffusion terms. This problem is not only degenerate but also singular. We first present existence result for general nonlinear diffusivities for the D...
Let
be a normalized analytic function defined on the unit disk and
Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces are established.
A four-parameter homogeneous mean
is defined by another approach. The criterion of its monotonicity and logarithmically convexity is pr...
We generalize the square integral estimate for the derivative of the convex function by Shashiashvili (2005) to the case of the family of the weight functions, satisfying certain conditions. This kind of gener...
The purpose of this paper is to study the strong convergence of a modified iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of so...
Wiegerinck has shown that a separately subharmonic function need not be subharmonic. Improving previous results of Lelong, Avanissian, Arsove, and of us, Armitage and Gardiner gave an almost sharp integrabilit...
Let
be a nonnegative Radon measure on
which only satisfies...
We establish some new impulsive integral inequalities related to certain integral inequalities arising in the theory of differential equalities. The inequalities obtained here can be used as handy tools in the...
Involving the
-Laplacian
In view of variational approach, we discuss a nonlinear elliptic system involving the
-Laplacian. Establishing the suitable conditions on the no...
We investigate the univalence of an integral operator defined by Al-Oboudi differential operator.
Let
be a nondoubling measure on
. A class of commutators as...
We will examine double sequence to double sequence transformation of independent identically distribution random variables with respect to four-dimensional summability matrix methods. The main goal of this pap...
We study the strong convergence of an iterative method for inverse strongly accretive operators in the framework of Banach spaces. Our results improve and extend the corresponding results announced by many oth...
Space
We will introduce linear operators and obtain their exact norms defined on the function spaces
and
...
For a sequence
of dependent square integrable random variables and a sequence
...
-Widths for Some Classes of Periodic Functions with Formal Self-Adjoint Linear Differential Operators
We consider the classes of periodic functions with formal self-adjoint linear differential operators
, which include the classical Sobol...
We give some further consideration about logarithmic convexity for differences of power sums inequality as well as related mean value theorems. Also we define quasiarithmetic sum and give some related results.
We link some equivalent forms of the arithmetic-geometric mean inequality in probability and mathematical statistics.
-Widths for Some Classes of Convolution Functions
We consider some classes of
-periodic convolution functions
A measure of noncompactness (essential norm) for maximal functions and potential operators defined on homogeneous groups is estimated in terms of weights. Similar problem for partial sums of the Fourier series...
We define two functions which determine the properties and the representation of the mean value of a function on a ball and on its associated sphere. Using these two functions, we obtain Pizzetti's formula in
Let
be the unit ball in
with respect to the Euclidean norm...
In this paper we have introduced an integral general operator. For this general operator which is a generalization of more known integral operators we have demonstrated some univalence properties.
Suppose that
is strictly increasing, strictly concave, and twice continuously differentiable on a nonempty interval
We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with...
The main purpose of the present paper is to establish some new Grüss integral inequalities in
independent variables. Our results in spe...
-Degree
By introducing an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous kernel of
It is shown that a weighted Hilbert inequality for double series can be established by introducing a proper weight function. Thus, a quite sharp result of the classical Hilbert inequality for double series is ...
In this paper we considered an general integral operator and three classes of univalent functions for which the second order derivative is equal to zero. By imposing supplimentary conditions for these function...
A multidimensional recurring mean inequality is shown. Furthermore, we prove some new inequalities, which can be considered to be the extensions of those established inequalities, including, for example, the P...
The Brézis-Wainger inequality on a compact Riemannian manifold without boundary is shown. For this purpose, the Moser-Trudinger inequality and the Sobolev embedding theorem are applied.
This paper improves Pachpatte's results on linear integral inequalities with two variables, and gives an estimation for a general form of nonlinear integral inequality with two variables. This paper does not r...
We study the following generalized additive functional inequality
, associated with linear mappings in Banach spaces. Moreover, we prove the Hye...
We show that the spectral seminorm is useful to study convergence or divergence of vectorial continued fractions in Banach algebras because such convergence or divergence is related to a spectral property.
The present article investigates new classes of functions involving generalized Noor integral operator. Some properties of these functions are studied including characterization and distortion theorems. Moreov...
Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004). These inequalities can be used as basic tools in ...
The authors investigate various subordination results for some subclasses of analytic functions in the unit disc. We obtain some sufficient conditions for multivalent close-to-starlikeness.
We investigate the following functional inequality:
in Banach modules over a
...
The main purpose of the present paper is to establish some new sharp integral inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Agarwal, ...
A second-order nonlinear differential equation, of which some solutions describe the static meniscus free surface (the static liquid bridge free surface between the shaper and the crystal surface) occurring in...
We will introduce new means of Cauchy's type
defined, for example, as
We consider the weakly efficient solution for a class of nonconvex and nonsmooth vector optimization problems in Banach spaces. We show the equivalence between the nonconvex and nonsmooth vector optimization p...
Jensen's Inequality on Time Scales
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond- ...
The classical variational inequality problem with a Lipschitzian and strongly monotone operator on a nonempty closed convex subset in a real Hilbert space was studied. A new finite-step relaxed hybrid steepest...
By using the operator
, Definition 2.1, we introduce a class of meromorphic functions denoted by
...
2022 Citation Impact
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1.6 - 5-year Impact Factor
0.984 - SNIP (Source Normalized Impact per Paper)
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