[PDF] Top 20 On generalization of Pachpatte type discrete inequalities and applications

... difference inequalities in the development of the theory of finite difference equations is well ...difference inequalities in order to study the qualitative as well as quantitative behavior of solutions of ... See full document

... DRAGOMIR, New estimation of the remainder in Taylor’s formula using Gr¨ uss’ type inequalities and applications, Math.. DRAGOMIR, A generalization of Gr¨ uss’ inequality in inner product[r] ... See full document

... Delay discrete inequalities with more than one nonlinear term are discussed, which generalize some known results and can be used in the analysis of various problems in the theory of certain classes of ... See full document

... to discrete Hilbert-type inequalities with nonhomogeneous kernels using special ...Hilbert- type integral inequalities with the particular kernels such as |x y| −λ similar to inequality ... See full document

... mathematical inequalities play very important role in classical differential and integral equations which has applications in many ...Fractional inequalities are important in studding the existence, ... See full document

... Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain difference ... See full document

... f ( s ) ds dt . (1.12) The inequality between the first and the last term in (1.12) has been obtained by Cheng and Sun [8]. However, the sharpness of the constant 1 2 , a generalization for the abstract Lebesgue ... See full document

... Some discrete inequalities of Cauchy-Bunyakovsky-Schwarz type for complex numbers with applications for the maximal deviation of a sequence from its weighted mean are given1. Cauchy-Buny[r] ... See full document

... nonlinear discrete weakly singular inequalities, which generalize some known results are ...the applications of our results in boundedness and uniqueness of solutions of difference equations, ... See full document

... Hilbert inequalities and Hilbert-type inequalities by several authors including Gao and Yang 1, Yang 2–4, Jichang and Debnath 5, Pachpatte 6, Zhao 7, Brneti´c and Peˇcari´c ... See full document

... The present study was designed to make the generalization of some inequalities for conformable differential equations. For this purpose we use the Katugampola derivative formulation of conformable ... See full document

... Some new Gr¨ uss type discrete inequalities for nonnegative real numbers and applications for the moments of guessing mappings are given.. Integral Inequalities, Gr¨ uss Type Discrete In[r] ... See full document

... Pachpatte, New inequalities of Ostrowski and Trapezoid type for n-time differentiable functions, Bull.. Tong, Convex Function, Partial Ordering and Statistical Applications, Academic Pre[r] ... See full document

... Integral inequalities involving functions of one independent variable, which provide explicit bounds on unknown functions play a fundamental role in the development of the theory of lin- ear and nonlinear ... See full document

... Pachpatte, “On an inequality of Ostrowski type in three independent variables,” Journal of Mathematical Analysis and Applications, vol.. Pachpatte, “On a new Ostrowski type inequality in[r] ... See full document

... The integral inequalities play a fundamental role in the theory of differential equations. Significant development in this area has been achieved for the last two decades. For details, we refer to [12, 13, 16, 22, ... See full document

... by Pachpatte, Handley et ...of inequalities was provided by Yang and Rassias (see ...Moreover, Pachpatte [9] established a new Hilbert-type inequality and its integral version as ... See full document

... Abstract. In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Gruss type. We give two main re- sults; the first one deals with some ... See full document

... Pachpatte, “On a certain retarded integral inequality and applications,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Pachpatte, “Inequalities applicable to certain par[r] ... See full document

... Some generalizations and refinements of inequality 1.10 can be found in 1, 4–10. In this paper, we achieve an improvement of inequality 1.1 in the sense of subtracting a nonnegative quantity from the right part of 1.1. ... See full document