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A General Optimal Inequality for Arbitrary Riemannian Submanifolds
$delta$-invariants Inequality Riemannian submanifold Squared mean curvature Sectional curvature
2008/7/3
One of the most fundamental problems in submanifold theory is to establish simple relationships between intrinsic and extrinsic invariants of the submanifolds (cf. [6]). A general optimal inequality f...
Difference of General Integral Means
Inequalities Averages of functions General averages or means Moments
2008/7/2
In this paper we present sharp estimates for the difference of general integral means with respect to even different finite measures. This is achieved by the use of the Ostrowski and Fink inequalities...
Extensions of Popoviciu's Inequality Using a General Method
Aczel's inequality Popoviciu's inequality Inequalities for Grammians
2008/7/2
A lemma of considerable generality is proved from which one can obtain inequalities of Popoviciu's type involving norms in a Banach space and Gram determinants.
General System of Strongly Pseudomonotone Nonlinear Variational Inequalities Based on Projection Systems
Strongly pseudomonotone mappings Approximation solvability Projection methods System of nonlinear variational inequalities
2008/7/1
General System of Strongly Pseudomonotone Nonlinear Variational Inequalities Based on Projection Systems.
We modify the definition of the weighted integral mean so that we can compare two such means not only upon the main function but also upon the weight function. As a consequence, some inequalities betw...
Integral Means Inequalities for Fractional Derivatives of Some General Subclasses of Analytic Functions
Integral means inequalities Fractional derivatives Analytic functions Univalent functions Extreme points Subordination
2008/6/30
Integral Means Inequalities for Fractional Derivatives of Some General Subclasses of Analytic Functions.
Note on Dragomir-Agarwal Inequalities, the General Euler Two-Point Formulae and Convex Functions
Hadamard inequality $r$-convexity Integral inequalities General Euler two-point formulae
2008/6/27
The general Euler two-point formulae are used with functions possessing various convexity and concavity properties to derive inequalities pertinent to numerical integration.
Rate Of Convergence For A General Sequence Of Durrmeyer Type Operators
Szasz Durrmeyer operators Baskakov Durrmeyer operators Rate of convergence Order of approximation
2008/6/27
In the present paper we give the rate of convergence for the linear combinations of the generalized Durrmeyer type operators which includes the well known Szasz Durrmeyer operators and Baskakov Durrme...
Report of the General Inequalities 8 Conference; September 15--21, 2002, Noszvaj, Hungary
General Inequalities 8 Report
2008/6/27
Report of the General Inequalities 8 Conference, September 15--21, 2002, Noszvaj, Hungary.
Predictor-Corrector Methods for Generalised General Multivalued Mixed Quasi Variational Inequalities
Variational inequalities Auxiliary principle Predictor-corrector method Convergence
2008/6/27
In this paper, a class of generalized general mixed quasi variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for the generalized gener...
Some Convexity Properties for a General Integral Operator
General Integral Operator Convexity Properties
2008/6/26
Univalent function, Integral operator, Convex function, Analytic function, Starlike function.
Time-Periodic Solutions of the Einstein's Field Equations I: general framework
Einstein’s field equations time-periodic solution Riemann curvature tensor singularity event horizon
2018/4/20
In this paper, we develop a new algorithm to find the exact solutions of the Einstein’s field equations.Time-periodic solutions are constructed by using the new algorithm. The singularities of the tim...
General mathematical frame for open or closed biomembranes: Stability theory based on differential operators
biomembranes stability theory stably permissible condition
2010/9/15
Based on a few differential operators and their integral theorems on curved surfaces, the second variations of the general potential functional and various geometric quantities defined on biomembranes...
On some properties of a high order fractional differential operator which is not in general selfadjoint
Fractional differential operator stable L´ evy process
2010/9/15
A fractional differential operator of order α ∈ R+ is introduced and some of its properties are studied. This operator is a generalization of the operators of Riesz-Feller, of Riemann-Liouville, of th...
General composite implicit iteration processes for common fixed points of asymptotically nonexpansive mappings
General composite implicit iterative Asymptotically nonexpansive
2010/9/15
General composite implicit iteration processes for common fixed points of asymptotically nonexpansive mappings