Results 131 to 140 of about 18,063 (184)
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2015
Until now, we have dealt only with integrals of functions that are defined in some closed and bounded interval (except, perhaps, for finitely many points of the interval) and are bounded on that interval. These restrictions are sometimes too strict; there are problems whose solutions require us to integrate functions on unbounded intervals, or that ...
Miklós Laczkovich, Vera T. Sós
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Until now, we have dealt only with integrals of functions that are defined in some closed and bounded interval (except, perhaps, for finitely many points of the interval) and are bounded on that interval. These restrictions are sometimes too strict; there are problems whose solutions require us to integrate functions on unbounded intervals, or that ...
Miklós Laczkovich, Vera T. Sós
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2014
The Riemann integral applies only to bounded functions defined on compact intervals. This severe restriction can be relaxed by considering larger concepts of integrability.
A. D. R. Choudary +1 more
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The Riemann integral applies only to bounded functions defined on compact intervals. This severe restriction can be relaxed by considering larger concepts of integrability.
A. D. R. Choudary +1 more
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Improper Integrals and Integral Functions
2016The notion of improper integral extends the notion of Riemann integral when either f is not bounded on some bounded interval, or the domain of the function is itself not bounded. Again, the notion that lies behind is that of the area below the graph of, say, a non negative function.
Marco Baronti +3 more
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2020
This chapter is concerned with the so-called improper integrals. They constitute the generalization of the definite integral when either the integration interval is infinite or the integrand function is not bounded. We will learn how to examine the convergence of such integrals and apply these results to certain infinite series.
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This chapter is concerned with the so-called improper integrals. They constitute the generalization of the definite integral when either the integration interval is infinite or the integrand function is not bounded. We will learn how to examine the convergence of such integrals and apply these results to certain infinite series.
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Non-Newtonian Improper Integrals
2020In this study, non-Newtonian improper integrals were introduced and their convergence conditions were investigated. Furthermore, some main theorems such as the second mean value theorem and intermediate value theorem were proved in the non-Newtonian sense to be given convergence tests.
Erdogan, Murat, Duyar, Cenap
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly