In this paper, we establish the left hand side of the Hermite–Hadamard inequality for α-
preinvex functions, and illustrate that the Hermite–Hadamard inequality for α-preinvex …

In this paper, we define new functionals generalizing scientometric indices proposed by
Mesiar and Gągolewski in 2016 to overcome some limitations of h-index. These functionals …

In this paper, the classical Jensen inequalities for concave function φ, ie, φ (∫ f (x) d μ)⩾∫ φ
(f) d μ and φ (∑ i= 1 n λ ixi)⩾∑ i= 1 n λ i φ (xi), are adapted for the Sugeno integral using the …

Abstract We introduce a Choquet-Sugeno-like operator generalizing many operators for
bounded nonnegative functions and monotone measures from the literature, eg, the Sugeno …

In this paper, we use a new method to obtain the necessary and sufficient condition
guaranteeing the validity of the Minkowski-H\"{o} lder type inequality for the generalized …

In this paper, it is shown that the Hadamard integral inequality for r-convex functions is not
satisfied in the fuzzy context. Using the classical Hadamard integral inequality, we give an …

We give a necessary and sufficient condition for validity of the Hölder-Minkowski type
inequality for the generalized Sugeno integral, any monotone measure and the class of⋆ …

The Sugeno fuzzy integral of log-convex functions | Journal of Inequalities and Applications
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In this paper, some estimates of third and fourth inequalities in Hermite–Hadamard-type
inequalities for coordinated convex functions are proved using the non-additivity of the …

We prove a general form of Chebyshev type inequality for generalized upper Sugeno
integral in the form of necessary and sufficient condition. A key role in our considerations is …