We construct the two-variable p-adic q-L-function which interpolates the generalized q-Bernoulli polynomials associated with primitive Dirichlet character χ. Indeed, this function is the q-extension of two-variable p-adic L-function due to Fox, corresponding to the case q = 1. Finally, we give some p-adic integral representation for this two-variable p-adic q-L-function and derive to q-extensio...

The set of diffractive optical elements for CO2 and Nd-Yag lasers was theoretically calculated, fabricated by microlithographic technology and experimentally tested. It is shown that the laser systems for therapy, surgery and welding gain from advanced capabilities of the DOEs: uniform focal-spot intensity, simultaneous formation of focal line contours, sharp and multiple-spot focusing, dual-wa...

In the present article, we prove some new generalizations of dynamic inequalities Hardy-type by utilizing diamond-? integrals on time scales. Furthermore, in two variables scales are proved. Moreover, Hardy for several functions using The results proved Jensen inequality and Fubini theorem Our main extend existing integral discrete inequalities. Symmetry plays an essential role determining corr...

and Applied Analysis 3 Theorem 2.3 Jensen’s inequality 5, Theorem 2.2 . Let a, b ∈ T with a < b, and suppose I ⊂ R is an interval. Assume h ∈ Crd a, b ,R satisfies ∫b a |h t |Δt > 0. If Φ ∈ C I,R is convex and f ∈ Crd a, b , I , then Φ ⎛ ⎝ ∫b a |h t |f t Δt ∫b a |h t |Δt ⎞ ⎠ ≤ ∫b a |h t |Φ ( f t ) Δt ∫b a |h t |Δt . 2.3 In 6 , Özkan et al. proved that Theorem 2.3 is also true if we use the nabl...

Aim: To compare the effect of four different polishing systems on color stability of two Nano composite resins immersed in four beverages (Coffee, Tea, Cola and Fanta). Methods: Eighty disc shaped specimens of 10 mm diameter and 2 mm thickness were prepared for each of the two Nano composite resins (Tetric N Ceram; Estelite alpha). The specimens of each material were divided into four groups (n...

The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the ...

The fundamental aim of the present paper is to deal with introducing a new family Daehee polynomials which called degenerate $q$-Daehee weight $\alpha$ by using $p$-adic $q$-integral on $\mathbb{Z}_{p}$. From this definition, we obtain some summation formulae and properties. We also introduce higher order $\alpha $ interesting identities.

In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and  $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions   via $alpha$-admissible simulation mappings, as well. Our results  can be viewed as extension of the corresponding results in this area.  Moreover, some examples and an application to funct...

Introduction: Recent developments of radiotherapy techniques, require high accuracy detectors to determine the delivered dose in a small area. Chemical vapor deposition (CVD) or naturally growth diamond detectors which are commercially available are good candidates for this purpose. In these detectors two electrodes with high different electrical potential are deposited on both...