Quantum symmetric analogue of various integral inequalities over finite intervals

JOURNAL OF MATHEMATICAL INEQUALITIES(2023)

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摘要
In this paper, we generalize the concept of Quantum calculus on finite intervals called symmetric quantum calculus over finite intervals. We define qs-symmetric derivative and qs symmetric integral for a real valued function. We also prove quantum symmetric analogue of some integral inequalities over finite interval.
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关键词
qs-symmetric integral,qs-symmetric derivative,qs-hermite-Hadamard in-equality,qs-Ostrowski inequality,qs-holder inequality
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