The aim of the present paper is to establish some variants integral inequalities in two independent variables. These integral inequalities given here can be applied as tools in the boundedness andâ€¦ (More)

hold. This double inequality is known in the literature as the Hermiteâ€“Hadamard inequality for convex functions. In recent years many authors established several inequalities connected to this fact.â€¦ (More)

ï£» (b âˆ’ a)M, for all x âˆˆ [a, b] . The constant 14 is best possible in the sense that it cannot be replaced by a smaller constant. In [2], the author has proved the following Ostrowski type inequality.â€¦ (More)

In this article, we establish some integral inequalities for function with two independent variables. Also we show applications of these inequalities for finding bounds of solutions to partialâ€¦ (More)

Some new inequalities of Ostowski-type for the ÄŒebyÅ¡ev functional and applications for Taylorâ€™s expansion and generalised trapezoid formula are pointed out.

In this paper, alternative proofs are provided for monotonic and logarithmically convex properties of the one-parameter mean values JÃ°rÃž and for monotonic properties of the product JÃ°rÃžJÃ° rÃž on Ã°â€¦ (More)

Let Î¦1, . . . ,Î¦n be strictly positive linear maps from a unital Câˆ—algebra A into a Câˆ—-algebra B and let Î¦ = âˆ‘n i=1 Î¦i be unital. If f is an operator convex function on an interval J , then for everyâ€¦ (More)

Some new inequalities which counterpart Jensenâ€™s discrete inequality and improve the recent results from [4] and [5] are given. A related result for generalized means is established. Applications inâ€¦ (More)

In this paper an inequality of Hadamard type for convex functions defined on a disk in the plane is proved. Some mappings naturally connected with this inequality and related results are alsoâ€¦ (More)