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Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results Author(s):
Sever S. Dragomir^{1,2} ^{1}Mathematics, School of Engineering
& Science Abstract:
The main aim of this survey is to present recent results concerning Ostrowski type inequalities for the Lebesgue integral of various classes of complex and realvalued functions. The survey is intended for use by both researchers in various fields of Classical and Modern Analysis and Mathematical Inequalities and their Applications, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas. 3: Paper Source PDF document Paper's Title:
Composite VariationalLike Inequalities Given By Weakly Relaxed ζSemiPseudomonotone MultiValued Mapping Author(s):
Syed Shakaib Irfan, Iqbal Ahmad, Zubair Khan and Preeti Shukla College of Engineering, Qassim University
College of Engineering, Qassim University
Department of Mathematics, Department of Mathematics,
Abstract:
In this article, we introduce a composite variationallike inequalities with weakly relaxed ζpseudomonotone multivalued maping in reflexive Banach spaces. We obtain existence of solutions to the composite variationallike inequalities with weakly relaxed ζpseudomon otone multivalued maps in reflexive Banach spaces by using KKM theorem. We have also checked the solvability of the composite variationallike inequalities with weakly relaxed ζsemipseudomonotone multivalued maps in arbitrary Banach spaces using KakutaniFanGlicksberg fixed point theorem. 2: Paper Source PDF document Paper's Title:
Some Approximation for the linear combinations of modified Beta operators Author(s):
Naokant Deo
Department of Applied Mathematics Abstract:
In this paper, we propose a sequence of new positive linear operators β_{n} to study the ordinary approximation of unbounded functions by using some properties of the Steklov means. 2: Paper Source PDF document Paper's Title:
Some Generalized Difference Sequence Spaces Defined by Orlicz Functions Author(s):
Ramzi S. N. Alsaedi and Ahmad H. A. Bataineh
Department of Mathematics, King Abdul Aziz University,
Department of Mathematics, Al alBayt University, Abstract:
In this paper, we define the sequence spaces: [V,M,p,u,Δ ],[V,M,p,u,Δ]_{0} and [V,M,p,u,Δ]_{∞}, where for any sequence x=(x_{n}), the difference sequence Δx is given by Δx=(Δx_{n}) = (x_{n}x_{n1}) . We also study some properties and theorems of these spaces. These are generalizations of those defined and studied by Savas and Savas and some others before. 2: Paper Source PDF document Paper's Title:
Inequalities for Discrete FDivergence Measures: A Survey of Recent Results Author(s):
Sever S. Dragomir^{1,2} ^{1}Mathematics, School of Engineering
& Science Abstract:
In this paper we survey some recent results obtained by the author in providing various bounds for the celebrated fdivergence measure for various classes of functions f. Several techniques including inequalities of Jensen and Slater types for convex functions are employed. Bounds in terms of KullbackLeibler Distance, Hellinger Discrimination and Varation distance are provided. Approximations of the fdivergence measure by the use of the celebrated Ostrowski and Trapezoid inequalities are obtained. More accurate approximation formulae that make use of Taylor's expansion with integral remainder are also surveyed. A comprehensive list of recent papers by several authors related this important concept in information theory is also included as an appendix to the main text. 2: Paper Source PDF document Paper's Title:
Integrating Factors and First Integrals of a Class of Third Order Differential Equations Author(s):
Mohammadkheer AlJararha Department of Mathematics, Email: mohammad.ja@yu.edu.jo Abstract:
The principle of finding an integrating factor for a none exact differential equations is extended to a class of third order differential equations. If the third order equation is not exact, under certain conditions, an integrating factor exists which transforms it to an exact one. Hence, it can be reduced into a second order differential equation. In this paper, we give explicit forms for certain integrating factors of a class of the third order differential equations. 2: Paper Source PDF document Paper's Title:
On Finding Integrating Factors and First Integrals for a Class of Higher Order Differential Equations Author(s):
Mohammadkheer M. AlJararha Department of Mathematics, Abstract:
If the $nth$ order differential equation is not exact, under certain
conditions, an integrating factor exists which transforms the differential
equation into an exact one. Thus, the order of differential equation can be
reduced to the lower order. In this paper, we present a technique for finding
integrating factors of the following class of differential equations:
2: Paper Source PDF document Paper's Title:
Formulation of Approximate Mathematical Model for Incoming Water to Some Dams on Tigris and Euphrates Rivers Using Spline Function Author(s):
Nadia M. J. Ibrahem, Heba A. Abd AlRazak, and Muna M. Mustafa Mathematics Department, Abstract:
In this paper, we formulate three mathematical models using spline functions, such as linear, quadratic and cubic functions to approximate the mathematical model for incoming water to some dams. We will implement this model on dams of both rivers; dams on the Tigris are Mosul and Amara while dams on the Euphrates are Hadetha and AlHindya. 1: Paper Source PDF document Paper's Title:
Coincidences and Fixed Points of Hybrid Maps in Symmetric Spaces Author(s):
S. L. Singh and Bhagwati Prasad
Vedic MRI, 21 Govind Nagar,
Department of Mathematics, Gurukula Kangri University, Abstract:
The purpose of this paper is to obtain a new coincidence theorem for a singlevalued and two multivalued operators in symmetric spaces. We derive fixed point theorems and discuss some special cases and applications. 1: Paper Source PDF document Paper's Title:
Positive Solutions to a System of Boundary Value Problems for HigherDimensional Dynamic Equations on Time Scales Author(s):
I. Y. Karaca Department of Mathematics, URL:
http://ege.edu.tr Abstract:
In this paper, we consider the system of boundary value problems for higherdimensional dynamic equations on time scales. We establish criteria for the existence of at least one or two positive solutions. We shall also obtain criteria which lead to nonexistence of positive solutions. Examples applying our results are also given. 1: Paper Source PDF document Paper's Title:
Hyponormal and KQuasiHyponormal Operators On SemiHilbertian Spaces Author(s):
Ould Ahmed Mahmoud Sid Ahmed and Abdelkader Benali Mathematics Department, Mathematics Department, Faculty of
Science, Abstract:
Let H be a Hilbert space and let A be a positive bounded operator on H. The semiinner product < uv>_{A}:=<Auv>, u,v ∈ H induces a seminorm  ._{A} on H. This makes H into a semiHilbertian space. In this paper we introduce the notions of hyponormalities and kquasihyponormalities for operators on semi Hilbertian space (H,._{A}), based on the works that studied normal, isometry, unitary and partial isometries operators in these spaces. Also, we generalize some results which are already known for hyponormal and quasihyponormal operators. An operator T ∈ B_{A} (H) is said to be (A, k)quasihyponormal if
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