<abstract xmlns="http://www.w3.org/1999/xhtml"> In literature the Dragomir-Fedotov functional is well known as<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mjpaa.2016.2.2_1.jpg"></inline-graphic>In this work a generalization of D (f; u) is established. Namely, we define the weighted Dragomir- Fedotov functional such as: <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mjpaa.2016.2.2_2.jpg"></inline-graphic>and hence several bounds are proved. </abstract>

Bounds for the weighted Dragomir–Fedotov functional

<abstract xmlns="http://www.w3.org/1999/xhtml"> In this paper, we introduce a new two-parameter deformation of the classical Gamma function, which we call a (p,k)-analogue of the Gamma function. We also provide some identities generalizing those satisfied by the classical Gamma function. Furthermore, we establish some inequalities involving this new function. </abstract>

Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R,

Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi,

On a (p,k)-analogue of the Gamma function and some associated Inequalities

<abstract xmlns="http://www.w3.org/1999/xhtml"> Let Wβδ(α,γ) be the class of normalized analytic functions f defined in the region |z| &lt; 1 and satisfying Re eiθ((1-α+2γ)(f/z)δ + (α-3γ+γ[(1-1/δ)(zf′/f) + 1/δ(1+zf″/f′)])(f/z)δ(zf′/f)-β)>0,with the conditions α ≤ 0, β &lt; 1, γ ≤ 0, δ > 0 φ ∈ ℝ. For a non-negative and real- valued integrable function λ(t) with ∫01 λ(t)dt = 1, the generalized non-linear integral transform is defined as Vλδ(f)(z) = (∫01λ(t)(f(tz)/t)δdt)1/δ.The main aim of the present work is to find conditions on the related parameters such that Vλδ(f)(z) ∈ Wβ1δ1(α1,γ1) whenever f ∈ Wβ2δ2(α2,γ2). Further, several interesting applications for specific choices of λ(t) are discussed. </abstract>

Department of Applied Sciences The NorthCap University, Sector 23-A Gurgaon, Haryana,

Department of Mathematics Indian Institute of Technology, Roorkee, Uttarkhand,

Inclusion properties of Generalized Integral Transform using Duality Techniques

<abstract xmlns="http://www.w3.org/1999/xhtml"> We derive some Hermite Hamamard type integral inequalities for functions whose second derivatives absolute value are convex. Some eror estimates for the trapezoidal formula are obtained. Finally, some natural applications to special means of real numbers are given</abstract>

Department of Mathematics, Faculty of Science, Bartın University, Bartın,

Department of Mathematics, Faculty of Science and Arts, Düzce University, Konuralp Campus, Düzce,

New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications

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Moroccan Journal of Pure and Applied Analysis

Volume 2 (2016): Issue 2 (December 2016)

Research Article

Bounds for the weighted Dragomir–Fedotov functional

On a (p,k)-analogue of the Gamma function and some associated Inequalities

Inclusion properties of Generalized Integral Transform using Duality Techniques

New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications

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