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Integral inequalities resembling Copson's inequality
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1990AbstractThe present paper deals with two inequalities which resemble Copson's integral inequalities. From our theorems, we obtain two interesting corollaries.
Mohapatra, R. N., Vajravelu, K.
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New integral inequalities for preinvex functions via generalized beta function
Journal of Interdisciplinary Mathematics, 2019In this study, we establish some new integral inequalities for the logarithmically p-preinvex functions by using generalizes beta function. This work extends and generalized the results appeared in the literature.
P. Mohammed
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Fractals, 2019
First, we introduce a generalized [Formula: see text]-convexity concept defined on the real linear fractal set [Formula: see text] [Formula: see text] and discuss the relation between generalized [Formula: see text]-convexity and [Formula: see text ...
T. Du, Hao Wang, M. Khan, Yao Zhang
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First, we introduce a generalized [Formula: see text]-convexity concept defined on the real linear fractal set [Formula: see text] [Formula: see text] and discuss the relation between generalized [Formula: see text]-convexity and [Formula: see text ...
T. Du, Hao Wang, M. Khan, Yao Zhang
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2000
Some integral inequalities of the following type are proved: Suppose \(f\) has a continuous \(n\)th order derivative on \([a,b]\); \(f^{(i)}(a)\geq 0\) and \(f^{(n)}(x)\geq n!\) for all \(x\in [a,b]\) and \(0\leq i\leq n-1\). Then \[ \int^b_a [f(x)]^{n+2} dx\geq \Biggl[\int^b_a f(x) dx\Biggr]^{n+ 1}. \] An open problem is also stated.
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Some integral inequalities of the following type are proved: Suppose \(f\) has a continuous \(n\)th order derivative on \([a,b]\); \(f^{(i)}(a)\geq 0\) and \(f^{(n)}(x)\geq n!\) for all \(x\in [a,b]\) and \(0\leq i\leq n-1\). Then \[ \int^b_a [f(x)]^{n+2} dx\geq \Biggl[\int^b_a f(x) dx\Biggr]^{n+ 1}. \] An open problem is also stated.
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
exaly
The mechanisms of integral membrane protein biogenesis
Nature Reviews Molecular Cell Biology, 2021Ramanujan Shankar Hegde, Robert J Keenan
exaly
K-fractional integral inequalities of Hadamard type for (h − m)−convex functions
, 2020G. Farid, A. Rehman, Qurat Ul Ain
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings
Nature Nanotechnology, 2023Andrea Cordaro, Andrea Alu
exaly