Monotonicity and convexity for the gamma function.
Monotonicity, continuity and levels of Darboux functions
Monotonicity of certain functionals under rearrangement
We show here that a wide class of integral inequalities concerning functions on 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 where and are monotone increasing functions of .Several applications are also derived. In particular these methods are shown to yield a new condition for path continuity of general stochastic processes
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.
Nonlinear contractive conditions: A comparison and related problems
We establish five theorems giving lists of nonlinear contractive conditions which turn out to be mutually equivalent. We derive them from some general lemmas concerning subsets of the plane which may be applied both in the single- or set-valued case as well as for a family of mappings. A separation theorem for concave functions is proved as an auxiliary result. Also, we discuss briefly the following problems for several classes of contractions: stability of procedure of successive approximations,...
Nonparametric recursive aggregation process
In this work we introduce a nonparametric recursive aggregation process called Multilayer Aggregation (MLA). The name refers to the fact that at each step the results from the previous one are aggregated and thus, before the final result is derived, the initial values are subjected to several layers of aggregation. Most of the conventional aggregation operators, as for instance weighted mean, combine numerical values according to a vector of weights (parameters). Alternatively, the MLA operators...
“Non-strict" L'Hospital-Type rules for monotonicity: intervals of constancy.
Note On Some General Inequalities
On a certain condition of the monotonicity of functions
On a functional equation with asymptotically unique continuous solutions. (Short Communication).
On a functional equation with asymptotically unique continuous solutions.
On a functional inequality of Kemperman
On a generalization of the Hermite-Hadamard inequality. II.
On a generalization of -means.
On a problem of Matkowski
We solve Matkowski's problem for strictly comparable quasi-arithmetic means.
On a uniformly integrable family of polynomials defined on the unit interval.
On absolutely monotone set-valued functions
We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).