On Grüss type inequalities for double integrals - Pachpatte - 2002 () Citation Context ...x) Remark 2.7. In [4] and the references cited therein, many generalisations of Grüss inequality (1.2) are given. Multidimensional integral inequalities of the Grüss type were recently established ...
We prove the Ostrowski type inequality for double integrals on time scales and thus unify corresponding continuous and discrete versions from the literature. We also apply the Ostrowski inequality for double integrals to the quantum time scales.关键词: Ostrowski type inequality Double integral Time scal...
Randomized, double-blind, placebo-controlled trial of the once-daily GLP-1 receptor agonist lixisenatide in Asian patients with type 2 diabetes insufficiently controlled on basal insulin with or without a sulfonylurea (GetGoal-L-Asia) Diabetes Obes Metab, 14 (2012), pp. 910-917 ...
DOUBLE integralsMULTIPLE integralsCONVEX functionsIn this paper, we first obtain two weighted identities for twice partially differentiable mappings. Moreover, utilizing these equalities,swtreaecstta.blish the weighted Hermite-Hadamard type inequalities and weighted Simpson type inequalities ...
While I know it does exist BigInteger sometimes it would be needed to have a type that is explicit 128 bit and nothing more probably it would be more efficient too (at least in a 64 bit machine at it could be represented as a couple of l...
Ever since the early days of integrated circuits, the number of transistors per chip has nearly doubled every two years, a trend that is known as Moore’s law1. For this trend to continue beyond the current 5 nm technology node, it will be necessary to develop GAAFETs (gate-all-aroun...
In this paper we first derive an Ostrowski type inequality on time scales for double integrals via ΔΔ-integral which unify corresponding continuous and discrete versions. We then replace the ΔΔ-integral by the∇∇-, Δ∇-, and∇Δ-integrals and get completely analogous results. ...
75Accesses 18Citations Explore all metrics Abstract In this paper, we establish a new weighted Ostrowski-type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis. Download references
P. and Quraishi, K.A.; Evaluation of Certain Elliptic Type Single, Double Integrals of Ramanujan and Erd´elyi, J. Mathematics Research ., 2(2010), 148-156.Qureshi, M. I ., Salahuddin, Chaudhary, M. P. and Quraishi, K. A.; Evaluation of Certain Elliptic Type Single, Double ...
where the spectral properties of fk have been used to simplify the integrals over terms such as 〈fk(t)〉 and 〈fk*(t)fk(t′)〉. The first term on the right-hand side represents the short-time correlations, which can be neglected in the long-time limit of large t and t′ after ...