Implicit-function theorem on the cone in a neighborhood of an irregular pointImplicit-
function theorem on the cone in
a neighborhood of an irregular
point On operator monotone and operator convex functions© 2016, Allerton Press, Inc.We establish monotonicity and
convexity criteria for
a continuous
Generalized Jensen’s functional on time scales via extended Montgomery identityIn the paper, we use Jensen’s inequality for diamond integrals and generalize it for
n-convex NOTE ON GENERALIZATION OF THE JENSEN-MERCER INEQUALITY BY TAYLOR'S POLYNOMIALWe present generalizations of the Jensen .Mercer inequality for the class of
n -
convex functions On Some “Collateral” Effects in the Alpha-convex Theory© 2018, Pleiades Publishing, Ltd. Some effects in the α-
convex theory of the univalent
functions Generalized Jensen's functional on time scales via extended Montgomery identityIn the paper, we use Jensen's inequality for diamond integrals and generalize it for
n-convex HARDY TYPE INEQUALITIES INVOLVING GRADIENT OF DISTANCE FUNCTION the gradient of the distance
function from
a point to the boundary of the domain. For test
functions we
Weighted averages of n-convex functions via extension of Montgomery’s identity and related inequalities for weighted averages of
n-convex functions, i.e. the sum ∑i=1mρih