[PDF] Top 20 On some inequalities for Beta and Gamma functions via some classical inequalities

... Inequalities via Chebyshev’s inequality The following result is well known in the literature as Chebyshev’s integral inequality for synchronous asynchronous mappings see, e.g., [16, page[r] ... See full document

... integral inequalities such as, Chebychev’s inequality for synchronous and asynchro- nous mappings, H¨ older’s inequality and Gr¨ uss’ and Ostrowski’s inequalities for the celebrated Euler’s Beta and ... See full document

... present some preliminaries and notations that will be useful in the ...asynchronous) functions and in direct consequence, we deduce some inequalities involving q, k-Beta and q, k- ... See full document

... type inequalities involving k-beta and k-gamma functions In this section, we prove some inequalities which involve k-gamma and k-beta functions by using ... See full document

... applying classical integral inequalities like Chebychev’s inequality for syn- chronous and asynchronous mappings and the Hölder-Rogers inequality, we derive sev- eral inequalities for extended ... See full document

... the classical Gamma function which they called, the conformable Gamma ...establish some inequalities for the conformable Gamma and Polygamma ...of some classical ... See full document

... revisit some important inequalities due to Hilbert, Hardy- Littlewood-P ´olya, and ...these inequalities and provide formulas for the best constants in a closed form via the gamma ... See full document

... convex functions and convex sets have been generalized in several directions us- ing novel and innovative techniques to study a wide class of unrelated problem in a unified and general ...invex functions ... See full document

... As a consequence, we get some new sharp estimates to various classical inequalities concerning the gamma function and hyperbolic functions.... Acknowledgements This paper is supported by[r] ... See full document

... From () along with the above results, we get Theorem .. Now, we mention here another inequality which is known in literature as the Ostrowski inequality. The following lemmas contain the said integral inequality [] ... See full document

... preinvex functions involving an arbitrary ...preinvex functions on general invex set can be characterized by a class of variational-like ...derive some integral inequalities of ... See full document

... two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine ... See full document

... special functions appear infrequently in the literature. Some of these inequalities are closely related to those presented ...here. Inequalities for the ratio of con- fluent hypergeometric ... See full document

... such inequalities have been ...type inequalities through various classes of convex functions, (see [11]) and the references cited therein, also (see [10]) and the references cited ... See full document

... Yang, Some Hadamard’s Inequalities for Co-ordinated Convex Functions in a Rectangle from the Plane, Taiwanese ...On Some New Inequalities of Hermite- Hadamard-Fejér Type Involving ... See full document

... Proof. The first inequality of 2.3 is proved in 6, while the first inequality of 2.8 is a well- known inequality due to Leach and Sholander 8 see 4 for many related references. The second inequalities of 2.3 and ... See full document

... t1 − ν ν − 1/2 < 0 which is satisfied for all t > 1/2 − ν/1 − ν when ν > 1. We report here some numerical experiments, computed by using mathematica. Example 3.2. In the first case we assume ν 8. In ... See full document

... Abstract. A function involving the divided differences of the psi function and the polygamma functions is proved to be completely monotonic. As an appli- cation of this result, the monotonicity and convexity of a ... See full document

... In [7], Dragomir defined convex functions on the co-ordinates as following: Definition 1. Let us consider the bidimensional interval ∆ = [a, b] × [c, d] in R 2 with a < b, c < d. A function f : ∆ → R will be ... See full document

... recall some definitions: A nonempty closed set I in R is said to be invex at x with respect to η, if x + tη (y, x) ∈ I holds for all x, y ∈ I and t ∈ [0, 1], where η is a continuous bi-function η : I × I → R , if ... See full document