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We show here that a wide class of integral inequalities concerning functions on $[0, 1]$ can be obtained by purely combinatorial methods. More precisely, we obtain modulus of continuity or other high order norm estimates for functions satisfying conditions of the type $\int_{0}^{1} \int_{0}^{1} Ψ (\frac{f (x) - f (y)}{p (x - y)}) d x d y < \infty$ where $Ψ (u)$ and $p (u)$ are monotone increasing functions of $| u |$ .Several applications are also derived. In particular these methods are shown to yield a new condition for path continuity of general stochastic processes

Displaying 1 – 11 of 11

Maximization for inner products under quasi-monotone constraints.

Moments of Convex and Monotone Functions.

Monotone and convex $H^{*}$ -algebra valued functions.

Monotonic refinements of a Ky Fan inequality.

Monotonicity and convexity for the gamma function.

Monotonicity, continuity and levels of Darboux functions

Monotonicity of certain functionals under rearrangement

Monotonicity of ratios involving incomplete gamma functions with actuarial applications.

Monotonicity properties of the relative error of a Padé approximation for Mills' ratio.

Monotonicity results for the Gamma function.

Monotonous stability for neutral fixed points.

Currently displaying 1 – 11 of 11