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New Poisson–Sch type inequalities and their applications in quantum calculus

New Poisson–Sch type inequalities and their applications in quantum calculus

The Poisson type inequalities, which were improved by Shu, Chen, and Vargas-De-Teón (J. Inequal. Appl. 2017:114, 2017), are generalized by using Poisson identities involving modified Poisson kernel functions with respect to a cone. New generalizations of improved Poisson-Sch type inequalities are obtained by using the generalized Montgomery identity associated with …