Results 41 to 50 of about 901 (142)
Refinements of quantum Hermite-Hadamard-type inequalities
In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin+3 more
doaj +1 more source
New properties for the Ramanujan R-function
In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu+3 more
doaj +1 more source
Structural results on convexity relative to cost functions
Mass transportation problems appear in various areas of mathematics, their solutions involving cost convex potentials. Fenchel duality also represents an important concept for a wide variety of optimization problems, both from the theoretical and the ...
A. Karakhanyan+13 more
core +1 more source
It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations.
Khan Muhammad Bilal+4 more
doaj +1 more source
An Extension of Alzer's Inequality [PDF]
In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.
arxiv
New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations [PDF]
In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
core
On a Separation Theorem for Delta-Convex Functions
In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz ...
Olbryś Andrzej
doaj +1 more source
Some new inequalities via s-convex functions on time scales
In this paper, we prove some new integral inequalities for s-convex function on time scale. We give results for the case when time scale is ℝ and when time scale is ℕ.
Mehreen Naila, Anwar Matloob
doaj +1 more source
Bead sliding and convex inequalities [PDF]
We analyze a bead sliding game and relate it to some classical convex inequalities.
arxiv
On Some New Integral Inequalities for K_{s}^2 [PDF]
In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.
arxiv