A characterization of the orthogonal polynomials.
A characterization of -convex functions.
A class of logarithmically completely monotonic functions related to and an application.
A Class of Means and Related Inequalities.
A concise proof for properties of three functions involving the exponential function.
A formula for calculation of metric dimension of converging sequences
Converging sequences in metric space have Hausdorff dimension zero, but their metric dimension (limit capacity, entropy dimension, box-counting dimension, Hausdorff dimension, Kolmogorov dimension, Minkowski dimension, Bouligand dimension, respectively) can be positive. Dimensions of such sequences are calculated using a different approach for each type. In this paper, a rather simple formula for (lower, upper) metric dimension of any sequence given by a differentiable convex function, is derived....
A Generalisation Of The Concept Of Convexity
A generalization of Andersson's inequality.
A logarithmic extension of the Hölder inequality.
A minimum energy condition of 1-dimensional periodic sphere packing.
A new algorithm for approximating the least concave majorant
The least concave majorant, , of a continuous function on a closed interval, , is defined by We present an algorithm, in the spirit of the Jarvis March, to approximate the least concave majorant of a differentiable piecewise polynomial function of degree at most three on . Given any function , it can be well-approximated on by a clamped cubic spline . We show that is then a good approximation to . We give two examples, one to illustrate, the other to apply our algorithm.
A new proof of some inequality connected with quadratures.
A new proof of the monotonicity of power means.
A new proof of the monotonicity property of power means.
A new type of stable generalized convex functions.
A note on an inequality for the gamma function.
A note on Halley's method.
A note on Halley's method
A refinement of an inequality from information theory.
A Representation Theorem for a Convex Cone of Quasi Convex Functions.