generalized s-convex functions are a new class of generalizedconvexfunctions that have been established in this paper. In a similar sense, a new class of generalizeds-convexsets is introduced as a generalization o...
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generalized s-convex functions are a new class of generalizedconvexfunctions that have been established in this paper. In a similar sense, a new class of generalizeds-convexsets is introduced as a generalization of s-convexsets. Additionally, a number of fundamental characteristics of generalized s-convex functions are investigated, both for general and differentiable cases. Furthermore, adequate criteria for optimality are defined for both unconstrained and inequality-constrained programming, and this is demonstrated using generalizeds-convexity.
Fractal analysis is one of interesting research areas of computer science and engineering, which depicts a precise description of phenomena in modeling. Visual beauty and self-similarity has made it an attractive fiel...
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Fractal analysis is one of interesting research areas of computer science and engineering, which depicts a precise description of phenomena in modeling. Visual beauty and self-similarity has made it an attractive field of research. The fractal sets are the effective tools to describe the accuracy of the inequalities for convexfunctions. In this paper, we employ linear fractals R alpha to investigate the (s,m)-convexity and relate them to derive generalized Hermite-Hadamard (HH) type inequalities and several other associated variants depending on an auxiliary result. Under this novel approach, we aim at establishing an analog with the help of local fractional integration. Meanwhile, we establish generalizedsimpson-type inequalities for (s,m)-convexfunctions. The results in the frame of local fractional showed that among all comparisons, we can only see the correlation between novel strategies and the earlier consequences in generalizeds-convex, generalized m-convex, and generalizedconvexfunctions. We obtain application in probability density functions and generalizedspecial means to confirm the relevance and computational effectiveness of the considered method. similar results in this dynamic field can also be widely applied to other types of fractals and explored similarly to what has been done in this paper.
In this paper, we establish the Hermite-Hadamard-type inequalities for the generalized s-convex functions in the second sense on real linear fractal set R-alpha(0 < alpha < 1).
In this paper, we establish the Hermite-Hadamard-type inequalities for the generalized s-convex functions in the second sense on real linear fractal set R-alpha(0 < alpha < 1).
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