Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 18 (2023), 123 -- 133

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SOME NEW INTEGRAL INEQUALITIES FOR NEGATIVE SUMMATION PARAMETERS

Abdelkader Senouci, Bouharket Benaissa and Mohammed Sofrani

Abstract. In this paper, we prove some Hardy type and Hardy-Steklov type integral inequalities for two negative summation parameters and we deduce some well-known results with sharp constants.

2020 Mathematics Subject Classification: 26D10; 26D15.
Keywords: Hardy-type integral inequality; negative summation parameters.

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Abdelkader Senouci
Department of Mathematics, University of Tiaret, Algeria.
Laboratory of informatics and mathematics.
e-mail: kamer295@yahoo.fr


Bouharket Benaissa
Faculty of Material Sciences, University of Tiaret, Algeria.
Laboratory of informatics and mathematics.
e-mail: bouharket.benaissa@univ-tiaret.dz


Mohammed Sofrani
Department of Mathematics, University of Tiaret, Algeria.
Laboratory of informatics and mathematics.
e-mail: mohammed.sofrani@univ-tiaret.dz

http://www.utgjiu.ro/math/sma