[PDF] Top 20 On a Generalized Retarded Integral Inequality with Two Variables

... Gronwall-Bellman inequality 1, 2 is an important tool in the study of existence, uniqueness, boundedness, stability, and other qualitative properties of solutions of differential equations and integral ... See full document

... This paper investigates integral inequalities for discontinuous functions with two independent variables involving two nonlinear terms. We do not require that ω (u) is in the class ℘ or the ... See full document

... Combining (.) and (.), we can obtain the desired inequality (.). Since T is an arbitrary time scale, then if we take T for some peculiar cases, we can obtain some corollaries immediately. Especially, if ... See full document

... is generalized to that of functions of two independent variables with integral remainder, some important special cases of Darboux’s formula of functions with two variables are ... See full document

... fractional integral operators, recently proposed by Jarad et ...of generalized k-fractional integral operators and develop a generalization of the reverse Minkowski inequality involving the ... See full document

... the inequality (1.2) is established by the use of integral identity involving Peano ...an inequality in the view ...independent variables and for recent weighted version of these type ... See full document

... Integral inequality that provides an explicit bound to the unknown function furnishes a handy tool to investigate qualitative properties of solutions of differential and integral ...Gronwall-Bellman ... See full document

... some generalized retarded nonlinear integral inequalities, which not only include nonlinear compound function of unknown function but also include retard items, and give upper bound estimation of the ... See full document

... the retarded Volterra-Fredholm type integral equations with maxima in two ...some integral equations. Example We consider the retarded Volterra-Fredholm type integral equation of ... See full document

... Gronwall inequality [1,2] are fundamental tools in the study of existence, uniqueness, boundedness, stability and other qualitative properties of solu- tions of differential equations, integral equations, ... See full document

... The integral inequalities which provide explicit bounds on unknown functions play an im- portant role in the development of the theory of differential and integral ...Gronwall-Bellman inequality and ... See full document

... a generalized nonlinear weakly singular retarded Wendroff-type integral inequality with maxima of an unknown function of two ...singular integral equation with maxima may be ... See full document

... We consider some new nonlinear retarded integral inequalities with two variables, which extend the results in the work of W.-S. Wang 2007, and the one in the work of Y.-H. kim 2009. These ... See full document

... The Finneytown Bakery is making peanut butter cookies and loaves of quick bread. The preparation and baking times for each are given in the table below. For these two items, the management has allotted 800 minutes ... See full document

... The following integral inequality which establishes a connection between the integral of the product of two functions and the product of the integrals of the two functions is well known [r] ... See full document

... a generalized version of Jensen’s inequality on time scales via the diamond-α integral and present some corollaries, including H ¨older’s and Minkowski’s diamond-α integral ... See full document

... of inequality of Grüss type for functions whose first and second derivatives are absolutely continuous and the third derivative is ...several integral inequalities of Grüss type, and in [] he showed some ... See full document

... [10] F. Qi, Z.-L. Wei, and Q. Yang, Generalizations and refinements of Hermite-Hadamard’s inequality, Rocky Mountain J. Math. 35 (2005), no. 1, 235–251. RGMIA Res. Rep. Coll. 5 (2002), no. 2, Art. 10, 337–349. ... See full document

... The paper is organized as follows. Some basic definitions and summarizations of previ- ous results are given in Section . In Section , the Jensen inequality for the generalized Sugeno integral is ... See full document

... The difference equations manifest themselves as mathematical models describing real life situations in probability theory, queuing problems, statistical problems, stochastic time series, combinatorial analysis, number ... See full document