We present Hermite–Hadamard–Fejér type inequalities for stronglyMφMψ-convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.Mea BombardelliDepartment of Mathematics, Faculty of Science, University of Zagreb, Zagreb Croatia...
In this paper, we introduce a class of nonsmooth nonconvex optimization problems, and we propose to use a local iterative minimization-majorization (MM) algorithm to find an optimal solution for the optimization problem. he cost functions in our optimization problems are an extension of convex func...
Basic properties of m-convex functions are discussed. New modified Regula Falsi methods are suggested for solving nonlinear equations. Characterizations of the higher order strongly m-convex functions are investigated under suitable conditions. It is shown that the parallelogram laws for Banach spaces ...
In this paper, we introduce the concept of strongly m -convex stochastic processes and present some basic properties of these stochastic processes. We derive Hermite-Hadamard type inequalities for stochastic processes whose first derivatives in absolute values are strongly m -convex. The results ...
In the paper, the authors introduce a new concept "strongly extended (s, m)-convex function" and establish some integral inequalities of Simpson's type for strongly extended (s, m)-convex functions. 2010 Mathematics Subject Classification: Primary 26A51; Secondary 26D15, 41A55....
The generalization of strongly convex and strongly m-convex functions is presented in this paper. We began by proving the properties of a strongly modified (h,m)-convex function. The Schur inequality and the Hermite–Hadamard (H-H) inequalities are proved for the proposed class. Moreover, H-...
Let K be nonempty closed convex subsets of a real Hilbert space H . Approximation solvability of a generalized system of nonlinear strongly g - r -pseudomonotonic variational inequality (SNVI) problems based on the convergence of projection methods is presented as follows: find elements x ∗ ,...
Local fractional integrals involving generalized strongly m-convex mappingsPrimary 26A51Secondary 26A3326D0726D1026D15In this paper, we first obtain a generalized integral identity for twice local fractional differentiable mappings on fractal sets [equation]of real line numbers. Then, using twice ...
In this paper, we derive a quantum analogue of Hermite–Hadamard-type inequalities for twice differentiable convex functions whose second derivatives in absolute value are strongly \\((\\alpha ,m )\\) -convex. We obtain new bounds using the H \\(\\ddot{o}\\) lder and power mean ...
m-subharmonic function bounded stronglym-pseudoconvex domainthe complexm-Hessian type equationcontinuous solutions to the complexm-Hessian type equationResults in Mathematics - In the paper, we are interested in studying the continuity of solution to the complex m-Hessian type equation $$\\chi (.)...