Cauchy–Schwarz inequalities for sums and integrals
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1: 1.7 Inequalities
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Cauchy–Schwarz Inequality
… ►Minkowski’s Inequality
… ►Cauchy–Schwarz Inequality
… ►Minkowski’s Inequality
… ►§1.7(iv) Jensen’s Inequality
…2: Bibliography G
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The solution of Cauchy’s problem for two totally hyperbolic linear differential equations by means of Riesz integrals.
Ann. of Math. (2) 48 (4), pp. 785–826.
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Inequalities for modified Bessel functions and their integrals.
J. Math. Anal. Appl. 420 (1), pp. 373–386.
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Some integrals involving three Bessel functions when their arguments satisfy the triangle inequalities.
J. Math. Phys. 25 (11), pp. 3350–3356.
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3: 4.10 Integrals
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4.10.7
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4: 1.9 Calculus of a Complex Variable
5: 1.4 Calculus of One Variable
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►Definite integrals over the Stieltjes measure could represent a sum, an integral, or a combination of the two.
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1.4.23_3
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Cauchy Principal Values
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1.4.24
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1.4.25
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6: 6.2 Definitions and Interrelations
7: 19.21 Connection Formulas
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19.21.11
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8: 19.6 Special Cases
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►Circular and hyperbolic cases, including Cauchy principal values, are unified by using .
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►For the Cauchy principal value of when , see §19.7(iii).
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9: 19.20 Special Cases
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►If are permuted so that , then the Cauchy principal value of is given by
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