[PDF] Top 20 Composição Florística do Componente Herbáceo do Jardim Botânico da UFSM, Santa Maria, Rio Grande do Sul

... of convex analysis and hence it becomes one of the most interesting and useful concept of mathematics for last few ...the convex functions which have played very important and crucial part in the ... See full document

... on inequalities, including a large number of papers and many fruitful ...specific inequalities provide a useful and essential gadget in the development of various branches of mathe- ... See full document

... inequality via harmonically convex ...ities via harmonically convex functions in connection with the generalized Mittag-Leffler function, which even generalizes the classical ... See full document

... of convex sets and convex functions have been gen- eralized in different ...of inequalities. Many famous inequalities can be obtained using the concept of convex ...these ... See full document

... The integral inequalities with Mittag-Leffler functions have been studied as a generaliza- tion of the classical ...[22] generalized several classical inequalities using an extended ... See full document

... Beckenbach, a leading expert on the history and the theory of convex func- tions, wrote that this inequality was proven by Hadamard in 1893 [1]. In 1974, Mitrinoviˇc found Hermites note in Mathesis [10]. Since ... See full document

... special functions, quantum mechanics and mathematical ...quantum integral identity and then develop some quantum estimates of Hermite-Hadamard type inequal- ities for convex ... See full document

... [4] M. K. Bakula, M. E. Özdemir and J. Pečarić, “Hadamard Type Inequalities for m-Convex and (α−m)-Convex Functions,” Journal of Inequalities in Pure and Applied Mathematics, Vol. 9, ... See full document

... type inequalities for B −1 -convex functions involving Riemann-Liouville type integral operators that are more general from classic integral operators are ... See full document

... namely, convex analysis. A largely applied inequality for convex functions, due to its geometrical significance, is the Hermite-Hadamard’s inequality which has generated a wide range of directions ... See full document

... some generalized fractional integral inequalities of midpoint and trapezoid types for twice differential ...⊆ R → R be a twice differentiable function on I ◦ such that h ∈ L 1 ([a, b]) ... See full document

... exponentially convex functions and m-convex func- tions are two distinct classes of convex ...of convex functions to unify these ... See full document

... harmonically convex func- tions via generalized fractional integral operators defined in (3) and ...type inequalities given in [1, 2, 6, ...type inequalities via ... See full document

... A more general definition of the Riemann–Liouville fractional integrals is given in [14]. Definition 4 Let f : [a, b] → R be an integrable function. Also let g be an increasing and positive function on (a, b], ... See full document

... important inequalities in a classical sit- uation; when α = , some relationships between these inequalities and the classical in- equalities have been ...these inequalities on fractal ... See full document

... for all a, c ∈ [0, b] and t ∈ [0, 1] and for all m ∈ [0, 1]. f is m-concave if –f is m-convex. Definition 1.3 ([15]) Let α > 0 with n – 1 < α ≤ n, n ∈ N, and 1 < x < b. The left- and right-hand side ... See full document

... Additionally, these hypotheses are valid in our results. Namely, if we get g(x) = x in (23), the inequality returns to (11). Similarly, getting g(x) = x in (24) gives inequality (10). Corollary 2 Hermite–Hadamard ... See full document

... and geometrically convex functions are quasi- geometrically convex ...quasi-geometrically convex functions which are neither GA-convex nor ... See full document

... of generalized convex func- tions, which are called generalized geometrically convex ...basic inequalities. We derive new Hermite-Hadamard integral inequalities for ... See full document

... of convex functions, which is called generalized convex( ϕ-convex ) ...The generalized convex functions are nonconvex ...of generalized convex ... See full document