Transcriptome-derived evidence supports recent polyploidization and a major phylogeographic division in Trithuria submersa (Hydatellaceae, Nymphaeales)Marques, Isabel,
Barker, Michael S.,
Macfarlane, Terry D.,
Conran, John G.,
Catalan, Pilar,
Rieseberg, Loren H.,
Rudall, Paula J.,
Graham, Sean W.,
Montgomery, Sean A. -genome duplications. We addressed these issues in
a polyploid representative of Hydatellaceae, part of the water
GENERALIZED STEFFENSEN'S INEQUALITY BY MONTGOMERY IDENTITIES AND GREEN FUNCTIONSA new generalization of Steffensen's inequality and other inequalities related to Steffnesen
Generalized Steffensen’s inequality by montgomery identities and green functionsGeneralized Steffensen’s inequality by
montgomery identities and green functions
Uniform Treatment of Jensen's Inequality by Montgomery Identity-Hadamard inequality.
Montgomery identity has
a great importance as many inequalities can be obtained from
Montgomery Generalized Steffensen’s inequality by Montgomery identityBy using generalized
Montgomery identity and Green functions we proved several identities which
Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity-convex function using the
Montgomery identity. It is also given that the maximization of Shannon entropy is
a Levinson-type inequalities via new Green functions and Montgomery identity and
Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new
Weighted averages of n-convex functions via extension of Montgomery’s identityUsing an extension of
Montgomery’s identity and the Green’s function, we obtain new identities