Jensen, Ostrowski and Hermite-Hadamard type inequalities for $ h $-convex stochastic processes by means of center-radius order relation
Copyright policy )Jensen, Ostrowski and Hermite-Hadamard type inequalities for $ h $-convex stochastic processes by means of center-radius order relation
<abstract><p>In optimization, convex and non-convex functions play an important role. Further, there is no doubt that convexity and stochastic processes are closely related. In this study, we introduce the notion of the $ h- $convex stochastic process for center-radius order in the setting of interval-valued functions ($ \mathcal{IVFS} $) which is novel in literature. By using these notions we establish Jensen, Ostrowski, and Hermite-Hadamard ($ \mathcal{H.H} $) types inequalities for generalized interval-valued $ \mathcal{CR}-h $-convex stochastic processes. Furthermore, the study provides useful examples to support its findings.</p></abstract>
- Government College University, Lahore Pakistan
- China Medical University Taiwan
- Khon Kaen University Thailand
- University of Pretoria South Africa
- Prince Sattam Bin Abdulaziz University Saudi Arabia
Statistics and Probability, Financial economics, Interval (graph theory), Economics, Geometry, Fuzzy Differential Equations and Uncertainty Modeling, hermite-hadamard, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, $ h $-convexity, Convexity, Interval-Valued Functions, Convex function, Computer security, QA1-939, FOS: Mathematics, stochastic $ h $-convex, Hadamard transform, Logarithmically convex function, Order (exchange), Hermite polynomials, ostrowski and jensen inequalities, Crystallography, RADIUS, Applied Mathematics, Pure mathematics, h-convexity, Hermite-Hadamard, Iterative Algorithms for Nonlinear Operators and Optimization, Discrete mathematics, Center (category theory), Computer science, Ostrowski and Jensen inequalities, Convex optimization, Regular polygon, Convex analysis, Chemistry, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Stochastic h-convex, Hermite-Hadamard Inequalities, Mathematics, Finance
Statistics and Probability, Financial economics, Interval (graph theory), Economics, Geometry, Fuzzy Differential Equations and Uncertainty Modeling, hermite-hadamard, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, $ h $-convexity, Convexity, Interval-Valued Functions, Convex function, Computer security, QA1-939, FOS: Mathematics, stochastic $ h $-convex, Hadamard transform, Logarithmically convex function, Order (exchange), Hermite polynomials, ostrowski and jensen inequalities, Crystallography, RADIUS, Applied Mathematics, Pure mathematics, h-convexity, Hermite-Hadamard, Iterative Algorithms for Nonlinear Operators and Optimization, Discrete mathematics, Center (category theory), Computer science, Ostrowski and Jensen inequalities, Convex optimization, Regular polygon, Convex analysis, Chemistry, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Stochastic h-convex, Hermite-Hadamard Inequalities, Mathematics, Finance
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