# Search results

Journal of Applied Analysis > 2019 > Vol. 25, nr 1 > 59--72

Fasciculi Mathematici > 2019 > nr 62 > 57--79

Fasciculi Mathematici > 2018 > Nr 60 > 59--78

_{1}, h

_{2})-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard type inequalities via k-fractional integrals are established. It is pointed out...

Fasciculi Mathematici > 2017 > Nr 58 > 77--96

_{m}-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT

_{m}-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for MT

_{m}-preinvex functions via classical integrals and Riemann-Liouville fractional integrals...

Fasciculi Mathematici > 2017 > Nr 58 > 155--166

Fasciculi Mathematici > 2017 > Nr 59 > 43--55

Mathematical Sciences > 2015 > 9 > 1 > 27-32

Results in Mathematics > 2012 > 61 > 1-2 > 29-42

*n*-simplex is called circumscriptible (or edge-incentric) if there is a sphere which is tangent to all its

*n*(

*n*+ 1)/2 edges. We obtain a closed formula for the radius of the circumscribed sphere of a circumscriptible

*n*-simplex, and we prove a double inequality involving the circumradius and the edge-inradius of such simplices. With these results a part of a problem posed by the authors is solved.

Applied Mathematics and Computation > 2008 > 203 > 2 > 770-777

Acta Mathematica Sinica, English Series > 2004 > 20 > 1 > 57-62

*J. Math. Anal. Appl.*

**226**, 166–179) and Zhao and Debnath (2001,

*J. Math. Anal. Appl.*

**262**, 411–418).