Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 53
2020 発行

APPROXIMATION OF INTEGRAL OPERATORS FOR ABSOLUTELY CONTINUOUS FUNCTIONS WHOSE DERIVATIVES ARE ESSENTIALLY BOUNDED

DRAGOMIR, S. S.
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Description
Approximations via Ostrowski type inequalities for the integral transform with the kernel K (., .) of absolutely continuous functions g : [a, b] → R whose derivative g′ : [a, b] → R belongs to L∞ [a, b] are obtained. Applications for particular integral transforms such as the Finite Mellin transform, the Finite Sine and Cosine transforms are also given .
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