منابع مشابه
Note on Dragomir-agarwal Inequalities, the General Euler Two-point Formulae and Convex Functions
The general Euler two-point formulae are used with functions possessing various convexity and concavity properties to derive inequalities pertinent to numerical integration.
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Abstract. Euler–Maclaurin and Poisson analogues of the summations ∑a<n≤b χ(n) f (n), ∑a<n≤b d(n) f (n), ∑a<n≤b d(n)χ(n) f (n) have been obtained in a unified manner, where (χ(n)) is a periodic complex sequence; d(n) is the divisor function and f (x) is a sufficiently smooth function on [a,b]. We also state a generalised Abel’s summation formula, generalised Euler’s summation formula and Euler’s...
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Everyone knows that the Euler characteristic of a combinatorial manifold is given by the alternating sum of its numbers of simplices. It is shown that there are other linear combinations of the numbers of simplices which are combinatorial invariants, but that all such invariants are multiples of the Euler characteristic. Theorem [Pachner 1987, [3]]. Two closed combinatorial n-manifolds are PLho...
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This paper examines stability analysis of two classes of improved backward Euler methods, namely split-step $(theta, lambda)$-backward Euler (SSBE) and semi-implicit $(theta,lambda)$-Euler (SIE) methods, for nonlinear neutral stochastic delay differential equations (NSDDEs). It is proved that the SSBE method with $theta, lambdain(0,1]$ can recover the exponential mean-square stability with some...
متن کاملOn a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations
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ژورنال
عنوان ژورنال: The ANZIAM Journal
سال: 2002
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s1446181100013912