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Item ON AN OPEN PROBLEM REGARDING AN INTEGRAL INEQUALITY(2003-04-14) S. MAZOUZIItem ONGENERALIZATIONOFCˇEBYŠEVTYPE INEQUALITIES(2007-04-13) K. BOUKERRIOUAItem Solvability of a fractional boundary value problem with fractional integral condition(2012-04-13) A. Guezane-LakoudItem SOME NEW GRONWALL-BIHARI TYPE INEQUALITIES ASSOCIATED WITH GENERALIZED FRACTIONAL OPERATORS AND APPLICATIONS(2022-11-27) Amira Ayari; Khaled BoukerriouaIn this paper, we derive some generalizations of certain Gronwall-Bihari type inequality for generalized fractional operators uni- fying Riemann-Liouville and Hadamard fractional operators for functions in one variable, which provide explicit bounds on unknown functions.To show the feasibility of the obtained inequalities, two illustrative examples are also introduced.Item THE SPECTRUM OF DIAGONAL PERTURBATION OF WEIGHTED SHIFT OPERATOR(https://arxiv.org/, 2018-01-20) Mohamed Lamine SahariThis paper provides a description of the spectrum of diagonal perturbation of weighted shift operator acting on a separable Hilbert space.