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minkowski integral inequality de books.google.com
... integral. Moreover q, ou e C'(u) is and only if this Riemann integral is finite. In the important special case where b(t) = to, p > 1, (14.8) reads |u}= s |u" du = | ps"'u(u) > s)ds. (14.9) *Minkowski's Inequality for Integrals The next ...
minkowski integral inequality de books.google.com
... Minkowski's integral inequality , we find that this integral is r \ f ( x ) | a - 1 + p - rp / qd 1 / r < c ^ { { { [ " \ " " ' ) " ' " ' \ { ( x ) \ dz } " . But q > r by assumption , and hence ( x ) | 1 / r | f ( x ) | dx ( { \ f ...
minkowski integral inequality de books.google.com
... Minkowski's integral inequality . Math . Aeterna 3 ( 7 ) , 597–600 ( 2013 ) 48. W. Sudsutad , S. Ntouyas , J. Tariboon , Fractional ... Inequalities for Some Classes of Weighted Integral Inequalities in Terms of Omega - Fractional 217.
minkowski integral inequality de books.google.com
... Minkowski's integral inequality, we find that this integral is 1/r r |f(x)| < C' s (s **) |f(x)|dx 0 But q > r by assumption, and hence |f(x)| 1/r | o-TP-P/4 do ) = [f(x)|P(1/-/a) = [f(x)|P-', 0 which leads to the desired inequality ...
minkowski integral inequality de books.google.com
... integral inequality , Theorem 202 in [ 60 ] : for p≥ 1 , P ( x , t ) dt dx < SA ( S , IF ( x , 0 ) x , t ) dt | 3 dx dt . A.1.3 A Useful Lemma The arithmetic ... Minkowski's Inequality A.1.3 A Useful Lemma A.1.4 Hölder's Inequality.
minkowski integral inequality de books.google.com
... integrals in ( 5.1.19 ) exist . ( 5.1.19 ) In the proof of the next main lemma , whose proof depends on an application of the Minkowski integral inequality ( 5.1.19 ) , we use the characteristic function X [ s , b ] T over the interval ...
minkowski integral inequality de books.google.com
... Minkowski integral inequality , 56 Minkowski's inequality , 57-59 Muirhead's inequality , 131 , 135 Nabla antiderivativ , 10 Nabla differentiable , 10 Nabla Hölder inequality , 48 Nabla integral , 10 Nabla Opial's inequality , 95 Opial ...
minkowski integral inequality de books.google.com
... Integral operator theory is a vast field on itself . In this chapter we briefly touch some questions that are related to Lebesgue spaces . We prove the Hilbert in- equality , we show the Minkowski integral inequality , and with that ...
minkowski integral inequality de books.google.com
... Minkowski integral inequality and the Hardy inequality . Proposition 18.4 ( Minkowski Integral Inequality ) Consider two o - finite spaces ( S1 , dx ) and ( S2 , dy ) and a measurable function F : S1 × S2 → R. Then , for any p∈ [ 1 ...