[PDF] Top 20 Some General Inequalities for Choquet Integral

... in some sense, the Choquet integral ia a kind of fuzzy ...Sugeno integral [6], the Choquet integral is a real generalization of the Lebesgue ...the Choquet integral ... See full document

... eral kernel are introduced, and the boundedness for the operators and their commutators generated by BMO and Lipschitz functions are obtained (see [, ]). The purpose of this paper is to prove the sharp maximal ... See full document

... 2, some necessary definitions and theorems for fractional integrals and B −1 - convexity are ...Hermite-Hadamard inequalities for B −1 -convex functions via Riemann-Liouville fractional integral ... See full document

... notion some authors used modified conformable derivatives (proportional derivatives) to generate nonlocal fractional integrals and derivatives, called fractional proportional integrals and derivatives, which ... See full document

... The measure and integral w.r.t. measure are important concepts in Mathematics. The fuzzy measures which are non-additivehave been introduced by Sugeno in 1974 [8]. These non-additive measures and integrals ... See full document

... the Choquet integral for log-convex ...the Choquet integral in the framework of distorted ...the Choquet integral for a general log-convex function, respectively, in the ... See full document

... and integral theory, there are several kinds of important nonlinear integrals, the Choquet integral [1], the Sugeno integral [2], the pan-integral [3] and the concave integral ... See full document

... ON NEW GENERALIZATIONS OF HARDY’S INTEGRAL INEQUALITIES LÜ ZHONGXUE and XIE HONGZHENG Received 1 November 2001.. We give some new generalizations of Hardy’s integral inequalities.[r] ... See full document

... functions. Some Hermite-Hadamard type inequalities for beta-preinvex functions are ...establish some integral inequalities involving Euler beta functions for the class of functions ... See full document

... investigate some nonlinear integral inequalities on time scales, which extend some inequalities established by Li and Sheng 8 and Li ...obtained inequalities can be used as ... See full document

... We introduce a new concept of convexity that depends on a function F : R × R × R × (0, 1) → R satisfying certain axioms. The presented concept generalizes many kinds of convexity including ε -convex functions, α -convex ... See full document

... of some fundamental integral inequalities used in the theory of differential and integral equations on time ...illustrate some time scale Pachpatte- type inequalities by ... See full document

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

... Recently, some authors have questioned this assumption of the theory, proposing new paradoxes where the Gain-Loss Separability is ...bipolar Choquet Integral with respect to a bi-capacity in a ... See full document

... In this paper, we obtain some integral inequalities for (1) type functional via generalized fractional integrals.. Preliminaries.[r] ... See full document

... Breaz, “Some convexity properties for a general integral operator,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Breaz, “A new integral univalent operator,” Acta Univer[r] ... See full document

... The inequalities are important in many applications. Some attractive recent theoretical results related to inequalities include Jensen type inequalities [1], the general varia- tional ... See full document

... Remark 3.17. Using our main results in this paper, we can obtain many dynamic inequal- ities on some peculiar time scales. Due to limited space, their statements are omitted here. At the end of this paper, we ... See full document

... Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl.. Pearce, Selected Topics on Hermite-Hadamard Ine[r] ... See full document

... and integral equations, it is becoming extremely difficult to ignore the existence of integral inequalities which help to determine of bounds on unknown ... See full document