Carleman's inequality – history, proofs and some new generalizations.
Carlson type inequalities.
Cauchy means of the Popoviciu type.
Cauchy-Schwarz and Hölder's inequalities are equivalent.
Čebyšev's inequality on time scales.
Certain bounds for the differences of means.
Certain classes of analytic functions involving Sălăgean operator.
Certain higher monotonicity properties of Bessel functions
Certain higher monotonicity properties of -th derivatives of solutions of
Certain inequalities for convex functions.
Certain properties of generalized Orlicz spaces.
Characterization of convex functions
There are many inequalities which in the class of continuous functions are equivalent to convexity (for example the Jensen inequality and the Hermite-Hadamard inequalities). We show that this is not a coincidence: every nontrivial linear inequality which is valid for all convex functions is valid only for convex functions.
Characterization of intermediate values of the triangle inequality II
In [Mineno K., Nakamura Y., Ohwada T., Characterization of the intermediate values of the triangle inequality, Math. Inequal. Appl., 2012, 15(4), 1019–1035] there was established a norm inequality which characterizes all intermediate values of the triangle inequality, i.e. C n that satisfy 0 ≤ C n ≤ Σj=1n ‖x j‖ − ‖Σj=1n x j‖, x 1,...,x n ∈ X. Here we study when this norm inequality attains equality in strictly convex Banach spaces.
Characterization of Trudinger's inequality.
Characterizing dominates on a family of triangular norms.
Chebyshev inequalities and self-dual cones.
Coefficient inequalities for certain classes of analytic and univalent functions.
Comments on some analytic inequalities.
Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
Comparison and oscillation results for delay difference equations with oscillating coefficients.