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INFINITEVOLTERRAgeneralizelimitsINEQUALITYBOUNDSholdsBellmaninverseverifyIn the paper the authors establish four theorems on two-independent-variableGronwall-type inequalities involving improper integrals with infinite integration limits.The results obtained improve and generalize the main results proved in the recen...
Let's consider an example where one of the limits of integration is infinite and then solve it. $\int_1^\infty \frac{1}{x^2} dx \;and\; \int_1^\infty \frac{1}{x} dx$ $\int_1^\infty \frac{1}{x^2} dx = \lim_{c\to \infty} \int_1^c \frac{1}{x^2} dx$ ...
Since the curve is finite, the area under the curve is also said to be finite, but indefinite integrals are used for functions that have no upper or lower bound, but because the function is essentially infinite, the upper bound and the lower limit is indefinite. Functions + ∞ & -∞....
Finally, we introduce a notion of incompletely monotonic functions of order n, which reduces to the usual notion of completely monotonic functions when the order is infinite. This is a preview of subscription content, log in via an institution to check access. Similar content being viewed by ...
Improper integrals are definite integrals with infinite limits or an integrand with an infinite limit. Learn about improper integrals here!
semi-infinite range integrals with B... K/ Michalski - 《IEEE Transactions on Antennas & Propagation》 被引量: 245发表: 1998年 Why Are High-Dimensional Finance Problems Often of Low Effective Dimension? Summary: Many problems in mathematical finance can be formulated as high-dimensional integrals...
SOME TWO-INDEPENDENT-VARIABLE INEQUALITIES INVOLVING IMPROPER INTEGRALS In the paper the authors establish four theorems on two-independent-variableGronwall-type inequalities involving improper integrals with infinite integrati... E Yang,L Gan - 《数学年刊B辑(英文版)》 被引量: 17发表: 1990年 ...
For example, the function f(x)=cosxx+1f(x)=cosxx+1 shown in Figure 3 intersects the horizontal asymptote y=1y=1 an infinite number of times as it oscillates around the asymptote with ever-decreasing amplitude.Figure 3. The graph of f(x)=cosx/x+1f(x)=cosx/x+1 cross...
Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function. Math Inequal Appl, 2018, 21(3): 629648 MATH Google Scholar Chu Y M, Cheng J F, Wang G D. Remarks on John disks. Acta Math Sci, 2009, 29B(1): 160168 MathSciNet MATH ...