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This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter.
The book’s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, as well as Science and Engineering University libraries.
Fractional Polya Integral Inequality
Univariate Fractional Polya Integral Inequalities
About Multivariate General Fractional Polya Integral Inequalities
Balanced Canavati Fractional Opial Inequalities
Fractional Representation Formulae Using Initial Conditions and Fractional Ostrowski Inequalities
Basic Fractional Integral Inequalities
Harmonic Multivariate Ostrowski and Grüss Inequalities Using Several Functions
Fractional Ostrowski and Grüss Inequalities Using Several Functions
Further Interpretation of Some Fractional Ostrowski and Grüss Type Inequalities
Multivariate Fractional Representation Formula and Ostrowski Inequality
Multivariate Weighted Fractional Representation Formulae and Ostrowski Inequalities
About Multivariate Lyapunov Inequalities
Ostrowski Type Inequalities for Semigroups
About Ostrowski Inequalities for Cosine and Sine Operator Functions
About Hilbert-Pachpatte Inequalities for Semigroups, Cosine and Sine Operator Functions
About Ostrowski and Landau Type Inequalities for Banach Space Valued Functions
Multidimensional Ostrowski Type Inequalities for Banach Space Valued Functions
About Fractional Representation Formulae and Right Fractional Inequalities
About Canavati Fractional Ostrowski Inequalities
The Most General Fractional Representation Formula for Functions and Consequences
Rational Inequalities for Integral Operators Using Convexity
Fractional Integral Inequalities with Convexity
Vectorial Inequalities for Integral Operators Involving Ratios of Functions Using Convexity
About Vectorial Hardy Type Fractional Inequalities
About Vectorial Fractional Integral Inequalities Using Convexity