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p-Schatten norm generalized fractional Ostrowski and Gru ̈ ss type inequalities involving several functions |
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PP: 17-40 |
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doi:10.18576/pfda/090102
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Author(s) |
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George A. Anastassiou,
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Abstract |
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Employing generalized Caputo fractional left and right vectorial Taylor formulae we establish generalized fractional Ostrowski and Gru ̈ss type inequalities involving several functions that take values in the von Neumann-Schatten class Bp(H), 1 ≤ p < ∞. The estimates are with respect to all p-Schatten norms, 1 ≤ p < ∞. We finish with applications.
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