Commutators of fractional integral with variable kernel on variable exponent Herz-Morrey spaces

Abstract

By using the boundedness results for the commutators of the fractional integral with variable kernel on variable Lebesgue spaces L p(•) (R n ), the boundedness results are established on variable exponent Herz−Morrey spaces MK α,λ q,p(•) (R n ).

Hermite–Jensen–Mercer Type Inequalities for Caputo Fractional Derivatives

“…e works above can also build up for a convex function of two variables. For further directions, we refer to [28][29][30][31][32][33].…”

Grüss type inequalities via generalized fractional operators

“…The researchers, who expanded the theory by obtaining inequality for function classes that can be integrated and differentiated with classical analysis methods, were influenced by the development in fractional analysis, and inequality gave a new orientation to the theory. See the previous papers 11‐42,43 for some prominent recent work in the field of inequality theory.…”