On generalized convex functions and generalized subdifferential II
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DOI: 10.1007/s11590-020-01682-0
Abstract: We introduce and study the notion of the $$\left( \sigma ,y\right) $$ σ , y -conjugate of a proper $$\sigma $$ σ -convex function. Some relations between the $$\sigma $$ σ -subdifferentials and the Clarke–Rockafellar… read more here.
Keywords: convex functions; generalized convex; functions generalized; sigma ... See more keywords
Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators
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DOI: 10.1155/2021/3089553
Abstract: Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions. We develop Hermite–Hadamard-type… read more here.
Keywords: raina fractional; mathematics; convex functions; generalized convex ... See more keywords
Some Simpson- and Ostrowski-Type Integral Inequalities for Generalized Convex Functions in Multiplicative Calculus with Their Computational Analysis
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DOI: 10.3390/math12111721
Abstract: Integral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions. These new inequalities help in finding the… read more here.
Keywords: generalized convex; integral inequalities; simpson ostrowski; computational analysis ... See more keywords