[PDF] Top 20 Bellman–Steffensen type inequalities

... some Bellman–Steffensen type inequalities are generalized for positive ...obtained Bellman–Steffensen type inequalities, are produced and their action on families of exponentially ... See full document

... Remark . The inequalities established above are related to infinite intervals. The main difference between the results here and those of finite intervals lies in their applications. The results above are valid in ... See full document

... Gronwall-Bellman type fractional integral inequalities and Volterra-Fredholm type fractional integral inequalities are ...These inequalities provide explicit bounds for unknown ... See full document

... dynamic inequalities containing integration on infinite intervals on time scales are established, which provides new bounds on unknown functions and can be used as a handy tool in the qualitative analysis of ... See full document

... In the past few years, many scholars have extended the Gronwall–Bellman inequality and applied it to many aspects. There can be found many generalizations and analogs of it in various cases from literature (see ... See full document

... and Steffensen type integral in- equalities for trigonometrically ρ-convex ...integral inequalities for trigonometrically ρ-convex and drive an inequality, which like to Hermite- Hadamard’s ... See full document

... We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontin- uous functions integro-sum inequalities; impulse integral inequalities. Some ... See full document

... Mate-Nevai type nonlinear delay integral inequalities for discontinuous functions, which extend the main results in ...desired inequalities will be dis- cussed in -D and -D cases ... See full document

... Gronwall-Bellman-Ou-Iang type integral inequalities with two variables. These inequalities generalize former results and can be used as handy tools to study the qualitative as well as the ... See full document

... for any positive operators A, B ∈ B ( H ) and any v ∈ [0, 1]. Various inequalities improving this above inequality have been studied in [5, 11]. Let σ be an operator mean in the sense of Kubo and Ando [9]. A mean ... See full document

... integral inequalities of Gronwall type in- volving functions of two independent variables which provide explicit bounds on unknown func- ...The inequalities given here can be used as tools in the ... See full document

... Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit bounds on unknown ...The inequalities given here can be used as tools in the ... See full document

... dynamic inequalities on an arbitrary time scale by utilizing the diamond- α dynamic integrals, which are characterized as a combination of the delta and nabla ...These inequalities expand some known dynamic ... See full document

... difference inequalities have been established (see [1]-[11] and the references ...earlier inequalities are inadequate and it is necessary to seek some new discrete inequalities in order to obtain a ... See full document

... show that the technique employed in [7] can be profitably utilized to establish more general integral inequalities of the Bellman-Biharl type in any number of.. We present here some of t[r] ... See full document

... In the present paper we establish some new Opial-type inequalities involving higher- order partial derivatives. Our results in special cases yield some of the recent results on Opial’s inequality and also ... See full document

... where Jν x and Yν x denote the Bessel functions of the first and the second kind, re , ν ≥ 0, k = 1,2,..., spectively, while the corresponding results for the positive zeros cνk of the [r] ... See full document

... Hilbert inequalities and Hilbert-type inequalities and their various generalizations by several authors including Handley et ...integral inequalities similar to Hilbert inequality see 10, page ... See full document

... Hardy inequalities are a subfamily of the Caffarelli-Kohn-Nirenberg ...these inequalities and their best constants allows us to obtain qualitative properties on the manifold ... See full document

... Remark 2.3. Let gx 1/b − a x ∈ a, b in Theorem 2.2. Then It Ht t ∈ 0, 1 and the inequality 2.2 reduces to the inequality 1.4, where H is defined as in Theorem A. Theorem 2.4. Let f, g, J be defined as above. Then J is ... See full document