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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...
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...
Let
and
be real Banach spaces,
...
The object of the present paper is to give some subordination properties of integral operator
which was studied by Jung in 1993.
The boundedness and the compactness of the two integral operators
;
The authors discuss necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation
By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained.
We prove that the convergence of a sequence of functions in the space
of measurable functions, with respect to the topology of convergen...
-Boundedness of Nonisotropic Spherical Riesz Potentials
We introduced the concept of nonisotropic spherical Riesz potential operators generated by the
-distance of variable order on
The purpose of this paper is to study the solvability for a class of generalized strong vector variational-like inequalities in reflexive Banach spaces. Firstly, utilizing Brouwer's fixed point theorem, we pro...
-Accretive Mappings
A new class of generalized nonlinear set-valued quasivariational inclusions involving generalized
-accretive mappings in Banach spaces ar...
We introduce and study a new class of auxiliary problems for solving the equilibrium problem in Banach spaces. Not only the existence of approximate solutions of the equilibrium problem is proven, but also the...
We find a new part-metric-related inequality of the form
Let
be a real Banach space,
a closed convex nonempty subset ...
We study the existence of global weak solutions for a hyperbolic differential inclusion with a source term, and then investigate the asymptotic stability of the solutions by using Nakao lemma.
The goal of this paper is to obtain sufficient and (different) necessary conditions for a series
, which is absolutely summable of order
Liouville-type results in
or in the half-space
might be impo...
By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for solving a system of nonlinear inclusions in Banach spaces. We prove some new existence results of solutions for...
We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defin...
Two new fractal measures
and
are constructed from Minkowski ...
We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set. This gives us a method to approximate a Sobolev function wit...
The purpose of the present paper is to obtain the sandwich-type theorem which contains the subordination- and superordination-preserving properties for certain integral operators defined on the space of normal...
We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the s...
Let
be an Abelain semigroup,
, and let
...
We consider a numerical method for proving a class of analytical inequalities via minimax rational approximations. All numerical calculations in this paper are given by Maple computer program.
The continuity of some multilinear operators related to certain convolution operators on the Triebel-Lizorkin space is obtained. The operators include Littlewood-Paley operator and Marcinkiewicz operator.
We prove the generalized Hyers‐Ulam stability of the following functional inequalities:
,
...
A new kind of duality between intersection bodies and projection bodies is presented. Furthermore, some inequalities for mixed intersection bodies are established. A geometric inequality is derived between the...
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